Question 1

Find the zeros of $Q(r)=2 r-15+r^{2}$ by factoring. List the answers in the form "A, $\mathrm{B}$ ", with $\mathrm{A}<\mathrm{B}$.

Accepted Answer

$-5,3$

Question 2

Find the zeros of $y=10 x^{2}+15 x+5$. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$.

Accepted Answer

$-1,-0.5$

Question 3

Which of the following quadratic functions have zeros at $x=-4$ and $x=1$ ?
A) $x^{2}+3 x-4$
B) $x^{2}-3 x-4$
C) $5 x^{2}+15 x-20$
D) $5 x^{2}-15 x-20$

Accepted Answer

A, C

Question 4

Solve $3.2 x^{2}-4.5 x=6.5$ by the quadratic formula. Round your answers to 2 decimal places. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$.

Accepted Answer

The answer of Solve $3.2 x^{2}-4.5 x=6.5$ by the quadratic...

Question 5

If $p(t)=-4(t-2)(t+1)$ is quadratic, then it can be written as
$p(t)=\ldots t^{2}+\ldots t+\ldots$. If $p(t)$ is not quadratic, enter "DNE" for each of the blanks.

Accepted Answer

The answer of If $p(t)=-4(t-2)(t+1)$ is quadratic, then it can...

Question 6

Suppose $g(x)=4 x^{2}-7 x$. What is $g(x+h)$ ?
A) $4 x^{2}+(8 h+7) x+\left(4 h^{2}+7 h\right)$
B) $4 x^{2}+(8 h-7) x+\left(4 h^{2}-7 h\right)$
C) $4 x^{2}-(4 h-7) x-\left(4 h^{2}-7 h\right)$
D) $4 x^{2}+7 x+h$

Accepted Answer

The answer of Suppose $g(x)=4 x^{2}-7 x$. What is $g(x+h)$...

Question 7

Suppose $g(x)=4 x^{2}-6 x$. What is $\frac{g(x+h)-g(x)}{h}$ ?
A) $4 x+4 h-6$
B) $-4 x+4 h-6$
C) $8 x+4 h-6$
D) $-8 x+4 h-6$

Accepted Answer

The answer of Suppose $g(x)=4 x^{2}-6 x$. What is $\frac{g(x+h)-g(x)}{h}$...

Question 8

For $f(x)=x^{2}$, does $f\left(\frac{4}{7}\right)=\frac{f(4)}{f(7)}$ ?

Accepted Answer

The answer of For $f(x)=x^{2}$, does $f\left(\frac{4}{7}\right)=\frac{f(4)}{f(7)}$ ?...

Question 9

Let $f(x)$ be a quadratic function which has $y$-intercept -54 and has zeros at $x=-3$ and $x=6$. Then $f(x)=$ ----------$x^{2}+$ ---------$x+$--------------

Accepted Answer

The answer of Let $f(x)$ be a quadratic function which...

Question 10

Find a formula for the quadratic function which corresponds to the values in the following table and use it to find $g(5)$.

Accepted Answer

The answer of Find a formula for the quadratic function...

Question 11

Which of the following functions are quadratic?
A) $ f(m)=\sqrt{3} m^{2}+\frac{2 m}{m^{2}}-2$
B) $ K(t)=(5 t-2)^{2}-6 t--27$
C) $h(t)=\frac{-7 t^{3}}{t}-3 t+10$
D) $ f(x)=(x-5)^{2}-x^{2}$
E) $ M(x)=3(4 x-5)(x+6)$

Accepted Answer

The answer of Which of the following functions are quadratic?
A)...

Question 12

Find the zeros of $F(x)=2.4 x^{2}+4.2 x+1.2$ by using the quadratic formula. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$. Write your answers correct to 3 decimal places.

Accepted Answer

The answer of Find the zeros of $F(x)=2.4 x^{2}+4.2 x+1.2$...

Question 13

The height of an object above the ground is described by the function $f(t)=2.3 t^{2}-14 t+4$.
a) What is the initial height of the object at time $t=0$ ?
b) When does the object have height 2 ?

Accepted Answer

The answer of The height of an object above the...

Question 14

Find a quadratic equation, $f$, with zeros at $x=4$ and $x=-2$ such that $f(1)=18$.

Accepted Answer

The answer of Find a quadratic equation, $f$, with zeros...

Question 15

Which of the following quadratic functions have zeros at $x=6$ and $x=-6$
A) $ f(x)=(x-6)(x+6)$
B) $ f(x)=5(x-6)(x-6)$
C) $ f(x)=-9(x-6)(x+6)$
D) $ f(x)=-(x+6)(x-6)$
E) $ f(x)=8(x+6)(x+6)$

Accepted Answer

The answer of Which of the following quadratic functions have...

Question 16

Find a formula for the parabola

Accepted Answer

The answer of Find a formula for the parabola
 ...

Question 17

The height of a baseball in feet $t$ seconds after it has been hit is given by $y=2+40 t-16 t^{2}$.
a) What is the height of the ball 0.2 seconds after it was hit?
b) When does the ball hit the ground? (If necessary, round your answer to three decimal places)

Accepted Answer

The answer of The height of a baseball in feet...

Question 18

Is the function $h(t)=2(x-1)^{2}-6 x$ quadratic? If so, write the function in the form $h(t)=a x^{2}+b x+c$.

Accepted Answer

$h(t)=2 x^{2}-10 x+2$

Question 19

Find a formula for the quadratic function which has only one zero at $x=3$ and contains the point $(-1,-48)$

Accepted Answer

The answer of Find a formula for the quadratic function...

Question 20

Find a formula in terms of $f(x)=x^{2}$ for $g(x)=x^{2}+6 x+2$.
A) $g(x)=f(x+6)-2$
B) $ g(x)=f(x+3)+2$
C) $g(x)=f(x+6)-7$
D) $g(x)=f(x+3)-7$

Accepted Answer

The answer of Find a formula in terms of $f(x)=x^{2}$...

Quiz 3: Quadratic Functions

Find the zeros of $Q(r)=2 r-15+r^{2}$ by factoring. List the answers in the form "A, $\mathrm{B}$ ", with $\mathrm{A}<\mathrm{B}$ .

Find the zeros of $y=10 x^{2}+15 x+5$ . List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$ .

Which of the following quadratic functions have zeros at $x=-4$ and $x=1$ ?

Solve $3.2 x^{2}-4.5 x=6.5$ by the quadratic formula. Round your answers to 2 decimal places. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$ .

If $p(t)=-4(t-2)(t+1)$ is quadratic, then it can be written as $p(t)=\ldots t^{2}+\ldots t+\ldots$ . If $p(t)$ is not quadratic, enter "DNE" for each of the blanks.

Suppose $g(x) =4 x^{2}-7 x$ . What is $g(x+h)$ ?

Suppose $g(x) =4 x^{2}-6 x$ . What is $\frac{g(x+h) -g(x) }{h}$ ?

For $f(x)=x^{2}$ , does $f\left(\frac{4}{7}\right)=\frac{f(4)}{f(7)}$ ?

Let $f(x)$ be a quadratic function which has $y$ -intercept -54 and has zeros at $x=-3$ and $x=6$ . Then $f(x)=$ ---------- $x^{2}+$ --------- $x+$ --------------

Find a formula for the quadratic function which corresponds to the values in the following table and use it to find $g(5)$ .

Which of the following functions are quadratic?

Find the zeros of $F(x)=2.4 x^{2}+4.2 x+1.2$ by using the quadratic formula. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$ . Write your answers correct to 3 decimal places.

The height of an object above the ground is described by the function $f(t)=2.3 t^{2}-14 t+4$ . a) What is the initial height of the object at time $t=0$ ? b) When does the object have height 2 ?

Find a quadratic equation, $f$ , with zeros at $x=4$ and $x=-2$ such that $f(1)=18$ .

Which of the following quadratic functions have zeros at $x=6$ and $x=-6$

Find a formula for the parabola

The height of a baseball in feet $t$ seconds after it has been hit is given by $y=2+40 t-16 t^{2}$ . a) What is the height of the ball 0.2 seconds after it was hit? b) When does the ball hit the ground? (If necessary, round your answer to three decimal places)

Is the function $h(t)=2(x-1)^{2}-6 x$ quadratic? If so, write the function in the form $h(t)=a x^{2}+b x+c$ .

Find a formula for the quadratic function which has only one zero at $x=3$ and contains the point $(-1,-48)$

Find a formula in terms of $f(x) =x^{2}$ for $g(x) =x^{2}+6 x+2$ .

Quiz 3: Quadratic Functions

Find the zeros of Q(r)=2r−15+r2Q(r)=2 r-15+r^{2}Q(r)=2r−15+r2 by factoring. List the answers in the form "A, B\mathrm{B}B ", with A<B\mathrm{A}<\mathrm{B}A<B .

Find the zeros of y=10x2+15x+5y=10 x^{2}+15 x+5y=10x2+15x+5 . List the answers in the form "A, B", with A<B\mathrm{A}<\mathrm{B}A<B .

Which of the following quadratic functions have zeros at x=−4x=-4x=−4 and x=1x=1x=1 ?

Solve 3.2x2−4.5x=6.53.2 x^{2}-4.5 x=6.53.2x2−4.5x=6.5 by the quadratic formula. Round your answers to 2 decimal places. List the answers in the form "A, B", with A<B\mathrm{A}<\mathrm{B}A<B .

If p(t)=−4(t−2)(t+1)p(t)=-4(t-2)(t+1)p(t)=−4(t−2)(t+1) is quadratic, then it can be written as p(t)=…t2+…t+…p(t)=\ldots t^{2}+\ldots t+\ldotsp(t)=…t2+…t+… . If p(t)p(t)p(t) is not quadratic, enter "DNE" for each of the blanks.

Suppose g(x) =4x2−7xg(x) =4 x^{2}-7 xg(x) =4x2−7x . What is g(x+h) g(x+h) g(x+h) ?

Suppose g(x) =4x2−6xg(x) =4 x^{2}-6 xg(x) =4x2−6x . What is g(x+h) −g(x) h\frac{g(x+h) -g(x) }{h}hg(x+h) −g(x) ​ ?

For f(x)=x2f(x)=x^{2}f(x)=x2 , does f(47)=f(4)f(7)f\left(\frac{4}{7}\right)=\frac{f(4)}{f(7)}f(74​)=f(7)f(4)​ ?

Let f(x)f(x)f(x) be a quadratic function which has yyy -intercept -54 and has zeros at x=−3x=-3x=−3 and x=6x=6x=6 . Then f(x)=f(x)=f(x)= ---------- x2+x^{2}+x2+ --------- x+x+x+ --------------

Find a formula for the quadratic function which corresponds to the values in the following table and use it to find g(5)g(5)g(5) .

Which of the following functions are quadratic?

Find the zeros of F(x)=2.4x2+4.2x+1.2F(x)=2.4 x^{2}+4.2 x+1.2F(x)=2.4x2+4.2x+1.2 by using the quadratic formula. List the answers in the form "A, B", with A<B\mathrm{A}<\mathrm{B}A<B . Write your answers correct to 3 decimal places.

The height of an object above the ground is described by the function f(t)=2.3t2−14t+4f(t)=2.3 t^{2}-14 t+4f(t)=2.3t2−14t+4 . a) What is the initial height of the object at time t=0t=0t=0 ? b) When does the object have height 2 ?

Find a quadratic equation, fff , with zeros at x=4x=4x=4 and x=−2x=-2x=−2 such that f(1)=18f(1)=18f(1)=18 .

Which of the following quadratic functions have zeros at x=6x=6x=6 and x=−6x=-6x=−6

Find a formula for the parabola

The height of a baseball in feet ttt seconds after it has been hit is given by y=2+40t−16t2y=2+40 t-16 t^{2}y=2+40t−16t2 . a) What is the height of the ball 0.2 seconds after it was hit? b) When does the ball hit the ground? (If necessary, round your answer to three decimal places)

Is the function h(t)=2(x−1)2−6xh(t)=2(x-1)^{2}-6 xh(t)=2(x−1)2−6x quadratic? If so, write the function in the form h(t)=ax2+bx+ch(t)=a x^{2}+b x+ch(t)=ax2+bx+c .

Find a formula for the quadratic function which has only one zero at x=3x=3x=3 and contains the point (−1,−48)(-1,-48)(−1,−48)

Find a formula in terms of f(x) =x2f(x) =x^{2}f(x) =x2 for g(x) =x2+6x+2g(x) =x^{2}+6 x+2g(x) =x2+6x+2 .

Find the zeros of $Q(r)=2 r-15+r^{2}$ by factoring. List the answers in the form "A, $\mathrm{B}$ ", with $\mathrm{A}<\mathrm{B}$ .

Find the zeros of $y=10 x^{2}+15 x+5$ . List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$ .

Which of the following quadratic functions have zeros at $x=-4$ and $x=1$ ?

Solve $3.2 x^{2}-4.5 x=6.5$ by the quadratic formula. Round your answers to 2 decimal places. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$ .

If $p(t)=-4(t-2)(t+1)$ is quadratic, then it can be written as $p(t)=\ldots t^{2}+\ldots t+\ldots$ . If $p(t)$ is not quadratic, enter "DNE" for each of the blanks.

Suppose $g(x) =4 x^{2}-7 x$ . What is $g(x+h)$ ?

Suppose $g(x) =4 x^{2}-6 x$ . What is $\frac{g(x+h) -g(x) }{h}$ ?

For $f(x)=x^{2}$ , does $f\left(\frac{4}{7}\right)=\frac{f(4)}{f(7)}$ ?

Let $f(x)$ be a quadratic function which has $y$ -intercept -54 and has zeros at $x=-3$ and $x=6$ . Then $f(x)=$ ---------- $x^{2}+$ --------- $x+$ --------------

Find a formula for the quadratic function which corresponds to the values in the following table and use it to find $g(5)$ .

Find the zeros of $F(x)=2.4 x^{2}+4.2 x+1.2$ by using the quadratic formula. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$ . Write your answers correct to 3 decimal places.

The height of an object above the ground is described by the function $f(t)=2.3 t^{2}-14 t+4$ . a) What is the initial height of the object at time $t=0$ ? b) When does the object have height 2 ?

Find a quadratic equation, $f$ , with zeros at $x=4$ and $x=-2$ such that $f(1)=18$ .

Which of the following quadratic functions have zeros at $x=6$ and $x=-6$

The height of a baseball in feet $t$ seconds after it has been hit is given by $y=2+40 t-16 t^{2}$ . a) What is the height of the ball 0.2 seconds after it was hit? b) When does the ball hit the ground? (If necessary, round your answer to three decimal places)

Is the function $h(t)=2(x-1)^{2}-6 x$ quadratic? If so, write the function in the form $h(t)=a x^{2}+b x+c$ .

Find a formula for the quadratic function which has only one zero at $x=3$ and contains the point $(-1,-48)$

Find a formula in terms of $f(x) =x^{2}$ for $g(x) =x^{2}+6 x+2$ .