Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Quarter 3 Review

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

 What is the maximum of  f(x) = −x2+6x −8f\left(x\right)\ =\ -x^2+6x\ -8  ?

a)

3

b)

1

c)

2

d)

4

2.

Function f is defined as f(𝑥) = 𝑥2 + 8𝑥 + 9 and is graphed below.


TRUE OR FALSE: The axis of symmetry is x = 4.

a)

TRUE

b)

FALSE

3.

Function f is defined as f(𝑥) = 𝑥2 + 8𝑥 + 9 and is graphed below.


TRUE OR FALSE: The vertex is (-4, -7)

a)

TRUE

b)

FALSE

4.

Function f is defined as f(𝑥) = 𝑥2 + 8𝑥 + 9 and is graphed below.


TRUE OR FALSE: The function is decreasing on (-4, ∞)

a)

TRUE

b)

FALSE

5.

Function f is defined as f(𝑥) = 𝑥2 + 8𝑥 + 9 and is graphed below.


TRUE OR FALSE: The average rate of change (slope) from x = -2 to x = -1 is 5

a)

TRUE

b)

FALSE

6.

Function f is defined as f(𝑥) = 𝑥2 + 8𝑥 + 9 and is graphed below.


TRUE OR FALSE: The range is "All Real Numbers"

a)

TRUE

b)

FALSE

7.

Function f is defined as f(𝑥) = 𝑥2 + 8𝑥 + 9 and is graphed below.


TRUE OR FALSE: f(x) has two real zeros

a)

TRUE

b)

FALSE

8.

Function j is defined as j(x) = −2(x−7)2 − 8j\left(x\right)\ =\ -2\left(x-7\right)^2\ -\ 8 


How does j compare to  f(x)=x2f\left(x\right)=x^2  ?

a)

The function j(𝑥) opens down, and it is translated 7 units to the left and 8 units down.

b)

The function j(𝑥) opens down, and it is translated 7 units to the right and 8 units down.

c)

The function j(𝑥) opens up, and it is translated 7 units to the left and 8 units down.

d)

The function j(𝑥) opens up, and it is translated 7 units to the right and 8 units down.

9.

What is the discriminant? f(x)=−3x2−5x+3f(x)=-3x^2-5x+3  

a)

61

b)

-11

c)

51

d)

69

10.

The discriminant of the last problem was 61. What does this mean?

a)

There are no solutions.

b)

There are two real roots.

c)

There are two non-real roots

d)

There is one real root.

e)

There is one non-real root.