Question 1

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = | - x |$

Accepted Answer

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Question 2

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-The reflection of the graph of y = f(x) across the y-axis

Accepted Answer

Reflecting a point across the y-axis changes the sign of the x-coordinate while the y-coordinate remains the same. Thus, (2, 4) becomes (-2, 4).

Question 3

Match the correct function to the graph.
-

Accepted Answer

The answer of Match the correct function to the graph.
-...

Question 4

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-

Accepted Answer

The answer of Graph the function by starting with the...

Question 5

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x²

Accepted Answer

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Question 6

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-

Accepted Answer

The answer of Graph the function by starting with the...

Question 7

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =(-x)²

Accepted Answer

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Question 8

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f(x)=\frac{6}{x}$

Accepted Answer

The answer of Graph the function by starting with the...

Question 9

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x³

Accepted Answer

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Question 10

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f(x)=\frac{1}{5 x}$

Accepted Answer

The answer of Graph the function by starting with the...

Question 11

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = - 2 ( x + 1 ) ^ { 2 } - 2$

Accepted Answer

The answer of Graph the function by starting with the...

Question 12

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-The reflection of the graph of y = f(x) across the x-axis

Accepted Answer

When reflecting a point across the x-axis, the y-coordinate changes sign. Therefore, the reflection of (2,4) across the x-axis is (2,-4).

Question 13

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = 3 ( x + 1 ) ^ { 2 } - 3$

Accepted Answer

The answer of Graph the function by starting with the...

Question 14

Find the function.
-Find the function that is finally graphed after the following transformations are applied to the graph of y = |x|. The graph is shifted right 3 units, stretched by a factor of 3, shifted vertically down 2 units, and finally reflected
Across the x-axis.

Accepted Answer

The correct transformations in order are: shift right 3 units (which changes $x$ to $x - 3$), stretch by a factor of 3 (which multiplies the function by 3), shift down 2 units (which subtracts 2 from the function), and reflect across the x-axis (which multiplies the function by -1). This results in $y = - ( 3 | x - 3 | - 2 )$.

Question 15

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-

Accepted Answer

The answer of Graph the function by starting with the...

Question 16

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-

Accepted Answer

The answer of Graph the function by starting with the...

Question 17

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-

Accepted Answer

The answer of Graph the function by starting with the...

Question 18

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-y = 2f(x)

Accepted Answer

Since the point (2, 4) is on the graph of y = f(x), multiplying the y-value by 2 for the function y = 2f(x) gives a new point (2, 8).

Question 19

Find the function.
-Find the function that is finally graphed after the following transformations are applied to the graph of y =x. The graph is shifted up 4 units, reflected about the y-axis, and finally shifted left 3 units.

Accepted Answer

The correct transformations applied to $y = \sqrt{x}$ to achieve the described final graph are: shifting up 4 units, reflecting about the y-axis (which changes $x$ to $-x$), and shifting left 3 units (which adds 3 inside the square root, resulting in $\sqrt{-x-3}$). Adding 4 to account for the upward shift gives the final function $y = \sqrt{-x-3} + 4$.

Question 20

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-

Accepted Answer

The answer of Graph the function by starting with the...

Quiz 1: Functions and Their Graphs

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | - x |$

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -The reflection of the graph of y = f(x) across the y-axis

Match the correct function to the graph. - $Match the correct function to the graph. - A) y = - 2 x ^ { 2 } B) y = 1 - x ^ { 2 } C) y = - 2 x ^ { 2 } + 1 D) y = - 2 x ^ { 2 } - 1$

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x²

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =(-x) ²

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x³

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -The reflection of the graph of y = f(x) across the x-axis

Find the function. -Find the function that is finally graphed after the following transformations are applied to the graph of y = |x|. The graph is shifted right 3 units, stretched by a factor of 3, shifted vertically down 2 units, and finally reflected Across the x-axis.

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -y = 2f(x)

Find the function. -Find the function that is finally graphed after the following transformations are applied to the graph of y =x. The graph is shifted up 4 units, reflected about the y-axis, and finally shifted left 3 units.

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Quiz 1: Functions and Their Graphs

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x) =∣−x∣f ( x ) = | - x |f(x) =∣−x∣

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -The reflection of the graph of y = f(x) across the y-axis

Match the correct function to the graph. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x2

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =(-x) 2

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x) =6xf(x) =\frac{6}{x}f(x) =x6​

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x3

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x) =15xf(x) =\frac{1}{5 x}f(x) =5x1​

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x) =−2(x+1) 2−2f ( x ) = - 2 ( x + 1 ) ^ { 2 } - 2f(x) =−2(x+1) 2−2

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -The reflection of the graph of y = f(x) across the x-axis

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x) =3(x+1) 2−3f ( x ) = 3 ( x + 1 ) ^ { 2 } - 3f(x) =3(x+1) 2−3

Find the function. -Find the function that is finally graphed after the following transformations are applied to the graph of y = |x|. The graph is shifted right 3 units, stretched by a factor of 3, shifted vertically down 2 units, and finally reflected Across the x-axis.

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -y = 2f(x)

Find the function. -Find the function that is finally graphed after the following transformations are applied to the graph of y =x. The graph is shifted up 4 units, reflected about the y-axis, and finally shifted left 3 units.

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | - x |$

Match the correct function to the graph. - $Match the correct function to the graph. - A) y = - 2 x ^ { 2 } B) y = 1 - x ^ { 2 } C) y = - 2 x ^ { 2 } + 1 D) y = - 2 x ^ { 2 } - 1$

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x²

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =(-x) ²

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =-x³