Quiz about NC Math 4 Review for Final Part 1

Question 1

What are the green dots called?

Accepted Answer

roots/x-intercepts

Answer

y-intercepts

Answer

maximum

Answer

minimum

Question 2

What is the minimum of this graph?

Accepted Answer

(-0.5,-3.5)

Answer

(-2,6)

Answer

(-1,-3)

Answer

(3,0)

Question 3

What is the y-intercept?

Accepted Answer

(0,3)

Answer

None

Answer

(3,1)

Answer

y = -1

Question 4

How many roots does the function have?

Accepted Answer

2

Answer

None

Answer

1

Answer

3

Question 5

Does the graph have a maximum or minimum?

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 6

Find the x-intercept(s) of the graph shown.

Accepted Answer

(5.6, 0)

Accepted Answer

(-3.3, 0)

Accepted Answer

(-5, 0)

Answer

(0, 4)

Question 7

What is the y-intercept?

Accepted Answer

(0,7)

Answer

(0,0)

Answer

(1,9)

Answer

(2,11)

Question 8

What is the end behavior of a third degree polynomial?

Accepted Answer

down, up

Answer

up, up

Answer

down, down

Answer

up, down

Question 9

What is the end behavior of a second degree polynomial?

Accepted Answer

up, up

Answer

down, down

Answer

down, up

Answer

up, down

Question 10

What is the end behavior of a fourth degree polynomial with a negative leading coefficient?

Accepted Answer

down, down

Answer

up, up

Answer

down, up

Answer

up, down

Question 11

Which equation shows a function that is translated left 4 and 7 up?

Accepted Answer

y = |x + 4| + 7

Answer

y = (x - 4)² + 7

Answer

y = (x + 7)² - 4

Answer

y = |x + 4| - 7

Question 12

If the blue graph is the parent function, what is the equation of the red (transformed) function?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 13

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Accepted Answer

A. g(x) = 2x²

Answer

B. g(x) = 1/2x²

Answer

C. g(x) = x² + 2

Answer

D. g(x) = (x + 2)²

Question 14

Which of the following functions reflects the graph f(x)=(x-1)²?

Accepted Answer

g(x)= - (x-1)²

Answer

g(x)= (x+1)²

Answer

g(x)= (-x-1)²

Answer

g(x)= (x-1)²-1

Question 15

What is the amplitude of the function
f(x) = -3cos x ?

Accepted Answer

3

Answer

-3

Answer

6

Answer

-6

Question 16

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

Accepted Answer

y = -|x - 2| - 7

Answer

y = -|x + 2| - 7

Answer

y = |x - 2| - 7

Answer

y = -|x - 2| + 7

Question 17

What is f when x equals 0?

Accepted Answer

1

Answer

-5

Answer

0

Answer

1/2

Question 18

What is f when x equals 4?

Accepted Answer

3

Answer

-5

Answer

0

Answer

6

Question 19

Using the pictured graph, what is f(-3)?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Question 20

What is the value of f(0)?

Accepted Answer

4

Answer

-2

Answer

2

Answer

0

Question 21

Find f(-2)

Accepted Answer

8

Answer

-3

Answer

6

Answer

-6

Question 22

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 23

Question 23.

Accepted Answer

4

Answer

3

Answer

1

Answer

None of the Above

Question 24

Rewrite in exponential form:

log₃(9)=2.

Accepted Answer

32=9

Answer

39=2

Answer

x2=9

Answer

3x=2

Question 25

Rewrite in logarithmic form:

6² = 36

Accepted Answer

log₆ 36 = 2

Answer

log₆ 2 = 36

Answer

ln 36 = 2

Answer

636 = 2

Question 26

log 3 9 =

Accepted Answer

2

Answer

1/2

Answer

1/3

Answer

3

Question 27

log₆(2x + 3) = 3

Accepted Answer

x = 106.5

Answer

x = 100

Answer

x = 16

Answer

x = 50

Question 28

Solve the equation for x.

Accepted Answer

22.198

Answer

e

Answer

1.131

Answer

21.66

Question 29

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 30

Describe the graph of f(x) = log x changed to

f(x) = 3log(x + 1) - 5

Accepted Answer

vertical stretch by 3 and shift left 1 and 5 units down

Answer

vertical stretch by 3 and shift right 1 and 5 units down

Answer

vertical compress by 3 and shift right 1 and 5 units down

Answer

vertical compress by 3 and shift left 1 and 5 units down

Question 31

Select all the transformations that apply.

y = log ₅(x + 1) +1

Accepted Answer

Horizontal shift left 1

Accepted Answer

Vertical shift up 1

Answer

Horizontal shift right 1

Answer

Vertical shift down 1

NC Math 4 Review for Final Part 1

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