Question 1

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4 A) (8, 0) B) (64, 4) C) (8, 5) D) (4, 8) E) (8, 4)

Accepted Answer

To find the vertex of a parabolic graph in the form of y = a(x - h)^2 + k, the vertex is located at the point (h, k).

In the given equation, we can rewrite it as y = 5(x - 8)^2 + 4, which is in the form of y = a(x - h)^2 + k.

Comparing the equations, we can see that h = 8 and k = 4, which gives us the vertex point (8, 4).

Therefore, the correct answer is E, (8, 4).

Question 2

Find a polynomial with the given zeros. 
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Find a polynomial with the given zeros....

Question 3

Find a polynomial with the given zeros. 
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Find a polynomial with the given zeros....

Question 4

Graph the function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function. 
A) 
B) 
C) 
D)...

Question 5

Use synthetic division to express  in the form  for the divisor  .
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Use synthetic division to express  in...

Question 6

Graph the function 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function 
A) 
B) 
C) 
D)...

Question 7

Do the operation and express the answer in a + bi form. 
A) - 15 i
B) - 3 i
C) 3
D) 3 i
E) - 3

Accepted Answer

The answer of Do the operation and express the answer...

Question 8

Let  . Use synthetic division to find the value  .
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Let  . Use synthetic division to...

Question 9

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 3)³ - 1. A) B) C) D)

Accepted Answer

The answer of The graph of the function g(x) is...

Question 10

Find a polynomial with the given zeros. 
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Find a polynomial with the given zeros....

Question 11

Graph the quadratic function. f (x) = - 4x² + 2 A) B) C) D)

Accepted Answer

The answer of Graph the quadratic function. f (x) =...

Question 12

Graph the quadratic function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the quadratic function. 
A) 
B) 
C)...

Question 13

Simplify the expression. i^-2 A) - i B) - 1 C) i D) - 3i E) 1

Accepted Answer

The answer of Simplify the expression. i^-2 A) - i B)...

Question 14

Find the vertex of the parabola. y = 6x² - 2 A) (-2, 6) B) (0, -2) C) (6, -2) D) (-2, 0) E) (0, 6)

Accepted Answer

The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex. The given equation y = 6x^2 - 2 is already in a form close to this, with a = 6, h = 0, and k = -2, indicating the vertex is at (0, -2).

Question 15

Graph the polynomial function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the polynomial function. 
A) 
B) 
C)...

Question 16

Graph the quadratic function. f (x) = x² + 3x A) B) C) D)

Accepted Answer

The answer of Graph the quadratic function. f (x) =...

Question 17

Find the vertex of the parabola. y = x² - 6x + 9 A) (-3, 0) B) (3, 0) C) (0, 3) D) (9, 0) E) (3, -3)

Accepted Answer

The answer of Find the vertex of the parabola. y...

Question 18

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 1)³. A) B) C) D)

Accepted Answer

The answer of The graph of the function g(x) is...

Question 19

Tell whether the function  is even or odd. If it is neither, so indicate.
A) even
B) odd
C) neither

Accepted Answer

The answer of Tell whether the function  is even...

Question 20

Graph the quadratic function. f (x) = - x² - 3x + 2 A) B) C) D)

Accepted Answer

The answer of Graph the quadratic function. f (x) =...

Quiz 3: Polynomial and Rational Functions

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) ² + 4

Find a polynomial with the given zeros.

Find a polynomial with the given zeros.

Graph the function.

Use synthetic division to express in the form for the divisor .

Graph the function

Do the operation and express the answer in a + bi form.

Let . Use synthetic division to find the value .

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 3) ³ - 1.

Find a polynomial with the given zeros.

Graph the quadratic function. f (x) = - 4x² + 2

Graph the quadratic function.

Simplify the expression. i^-2

Find the vertex of the parabola. y = 6x² - 2

Graph the polynomial function.

Graph the quadratic function. f (x) = x² + 3x

Find the vertex of the parabola. y = x² - 6x + 9

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 1) ³.

Tell whether the function is even or odd. If it is neither, so indicate.

Graph the quadratic function. f (x) = - x² - 3x + 2

Quiz 3: Polynomial and Rational Functions

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) 2 + 4

Find a polynomial with the given zeros.

Find a polynomial with the given zeros.

Graph the function.

Use synthetic division to express in the form for the divisor .

Graph the function

Do the operation and express the answer in a + bi form.

Let . Use synthetic division to find the value .

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 3) 3 - 1.

Find a polynomial with the given zeros.

Graph the quadratic function. f (x) = - 4x2 + 2

Graph the quadratic function.

Simplify the expression. i -2

Find the vertex of the parabola. y = 6x2 - 2

Graph the polynomial function.

Graph the quadratic function. f (x) = x2 + 3x

Find the vertex of the parabola. y = x2 - 6x + 9

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 1) 3.

Tell whether the function is even or odd. If it is neither, so indicate.

Graph the quadratic function. f (x) = - x2 - 3x + 2

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) ² + 4

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 3) ³ - 1.

Graph the quadratic function. f (x) = - 4x² + 2

Simplify the expression. i^-2

Find the vertex of the parabola. y = 6x² - 2

Graph the quadratic function. f (x) = x² + 3x

Find the vertex of the parabola. y = x² - 6x + 9

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 1) ³.

Graph the quadratic function. f (x) = - x² - 3x + 2