Free Printable 1314 - Final Review Questions

1.

Before starting this Quizizz, grab out a sheet of paper and write down the problems. If you get the problem wrong, the Quizizz will give you feedback. During this time, use the left arrow to look back at the problem.

These questions are formatted like the questions on the final exam. Good luck!

a)

You CAN pass this final!

b)

Email me if you need a refresher over Unit 2!

c)

Click any button to proceed.

2.

What transformations happened to the following function?
$2\cdot f\left(x+3\right)-4$

4 lines

3.

Let $f\left(x\right)=x^2$ be the parent function.

Given the equation below, what transformations happened to the function?
$f\left(x\right)=\frac{1}{3}\left(x-5\right)^2$

4 lines

4.

Let f(x) be the parent function. Determine which of the following equations represents the transformations below.
- Vertical Shift Down 2

- Vertical Stretch of 5/3

- Horizontal Shift Right 6

a)

$\frac{5}{3}\cdot f\left(x-6\right)-2$

b)

$\frac{5}{3}\cdot f\left(x+6\right)-2$

c)

$\frac{5}{3}\cdot f\left(x+2\right)-6$

d)

$\frac{5}{3}\cdot f\left(x-2\right)-6$

5.

Let f(x) be the parent function. Determine which of the following equations represents the transformations below.
- Horizontal Shift Left 7

- Vertical Shift Up 4

- Vertical Shrink of 1/2

a)

$\frac{1}{2}\cdot f\left(x+7\right)+4$

b)

$\frac{1}{2}\cdot f\left(x-7\right)+4$

c)

$2\cdot f\left(x+7\right)+4$

d)

$2\cdot f\left(x-7\right)+4$

6.

Use the graph to find the domain of function f.

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-1\right]$

c)

$\left(-\infty,\ -4\right]$

d)

$\left[-1,-\infty\right)$

7.

Use the graph to find the range of function f.

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-1\right]$

c)

$\left(-\infty,\ -4\right]$

d)

$\left[-1,-\infty\right)$

8.

What is the domain of this function?

$f\left(x\right)=-3x^2-24x-50$

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-2\right]$

c)

$\left[-50,\infty\right)$

d)

$\left[-2,-\infty\right)$

e)

Not enough information

9.

What is the range of this function?

$f\left(x\right)=-3x^2-24x-50$

a)

$\left(-\infty,-50\right)$

b)

$\left(-\infty,-2\right]$

c)

$\left[-2,\infty\right)$

d)

$\left(-50,-\infty\right)$

e)

Not enough information

10.

Does this function open up or open down?

$f\left(x\right)=-3x^2-24x-50$

a)

Opens Up

b)

Opens Down

c)

Not enough information

11.

Does this function open up or down?

$f\left(x\right)=-4\left(x+2\right)^2-8$

a)

Up

b)

Down

12.

Will this function have a minimum or maximum?

$f\left(x\right)=-4\left(x+2\right)^2-8$

a)

Minimum

b)

Maximum

13.

Determine the coordinates of the vertex of the graph of f(x).

$f\left(x\right)=-4\left(x+2\right)^2-8$

a)

$\left(2,-8\right)$

b)

$\left(-2,-8\right)$

c)

$\left(-8,\ 2\right)$

d)

$\left(-8,-2\right)$

14.

Determine the coordinates of the vertex of the graph of f(x).

$f\left(x\right)=\frac{1}{2}\left(x-6\right)^2+4$

a)

$\left(-6,4\right)$

b)

$\left(6,4\right)$

c)

$\left(6,-4\right)$

d)

$\left(-6,-4\right)$

15.

Does this function open up or down?

$f\left(x\right)=\frac{1}{2}\left(x-6\right)^2+4$

a)

Up

b)

Down

16.

Does this function have a minimum or maximum?

$f\left(x\right)=\frac{1}{2}\left(x-6\right)^2+4$

a)

Minimum

b)

Maximum

17.

Use the graph to identify the vertex of function f.

a)

$\left(-2,\ 3\right)$

b)

$\left(2,\ 3\right)$

c)

$\left(3,-2\right)$

d)

$\left(-3,\ 2\right)$

18.

On what interval is the function increasing?

a)

$\left(-2,\infty\right)$

b)

$\left(-\infty,-2\right)$

c)

$\left(-\infty,3\right)$

d)

$\left(3,\infty\right)$

19.

On what interval is the function decreasing?

a)

$\left(-2,\infty\right)$

b)

$\left(-\infty,-2\right)$

c)

$\left(-\infty,3\right)$

d)

$\left(3,\infty\right)$

20.

On what interval is the function increasing?

a)

$\left(-4,\infty\right)$

b)

$\left(-\infty,-4\right)$

c)

$\left(-\infty,-1\right)$

d)

$\left(-1,\infty\right)$

21.

On what interval is the function decreasing?

a)

$\left(-1,\infty\right)$

b)

$\left(-\infty,-1\right)$

c)

$\left(-\infty,-4\right)$

d)

$\left(-4,\infty\right)$

22.

Write this function in the form $f\left(x\right)=ax^2+bx+c$ .

a)

$-3x^2-24x-50$

b)

$-3x^2-50$

c)

$-3x^2-24x-48$

d)

$-3x^2-24x-26$

23.

Write the following function in the form $f\left(x\right)=ax^2+bx+c$ .

$f\left(x\right)=\left(3x+5\right)\left(x-2\right)$

4 lines

24.

Write the following function in the form $f\left(x\right)=ax^2+bx+c$ .

$f\left(x\right)=\left(4x-3\right)\left(x+7\right)$

4 lines

25.

Solve the quadratic equation using the method of your choice. Write your answers in the blank provided with a comma to separate the answers.

$8x^2=4-4x$

(a)

26.

Solve the quadratic equation using the method of your choice. Write your answers in the blank provided with a comma to separate the answers.

$4x^2-x-16=3x+8$

(a)

27.

Scott kicks a soccer ball during a game. The height of the ball, in feet, can by modeled by this function: $f\left(x\right)=-16x^2+48x$ , where x is the time in seconds after he kicks the ball.

What is the maximum height achieved by the ball?

a)

36ft

b)

1.5ft

c)

48ft

d)

38ft

28.

Scott kicks a soccer ball during a game. The height of the ball, in feet, can by modeled by this function: $f\left(x\right)=-16x^2+48x$ , where x is the time in seconds after he kicks the ball.

When did the ball reach the maximum height?

a)

36 secs

b)

1.5 secs

c)

4.8 secs

d)

3 secs

29.

Scott kicks a soccer ball during a game. The height of the ball, in feet, can by modeled by this function: $f\left(x\right)=-16x^2+48x$ , where x is the time in seconds after he kicks the ball.

How long will the ball be in the air before it hits the ground?

a)

36 secs

b)

1.5 secs

c)

4.8 secs

d)

3 secs

30.

Scott kicks a soccer ball during a game. The height of the ball, in feet, can by modeled by this function: $f\left(x\right)=-16x^2+48x$ , where x is the time in seconds after he kicks the ball.

How high is the ball after 2 seconds?

a)

36ft

b)

32ft

c)

29ft

d)

30ft

1314 - Final Review Questions - Test #3

Total questions: 30

Worksheet time: 1hrs 15mins

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