Quiz about Algebra Two

Question 1

What is the domain?

Accepted Answer

All Real Numbers

Answer

x = 2

Answer

y = 2

Answer

none of these

Question 2

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 3

Find the axis of symmetry for the graph

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 3

Answer

x = -1 , 3

Question 4

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 5

What is the inverse in the given coordinates {(18,6), (6,2), (27,9), (21,7), (15,5)}

Accepted Answer

{(6,18), (2,6), (9,27), (7,21), (5,15)}

Answer

{(6,18), (2,6), (9,27), (7,22), (5,15)}

Answer

{(6,18), (6,2), (9,27), (7,21), (5,15)}

Answer

{(6,18), (2,6), (9,27), (7,21), (15,15)}

Question 6

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

Accepted Answer

solve for y

Answer

replace y with f^-1(x)

Answer

solve for x

Answer

find the greatest common factor

Question 7

If you have two functions, f(x) and

g(x), then in order for them to be inverses of each other f(g(x)) and g(f(x)) must both equal to:

Accepted Answer

x

Answer

1

Answer

0

Answer

g(x)

Question 8

|8x - 2| + 3 = 21

Accepted Answer

x = -2; x = 2.5

Answer

x = -2.5; x = -2

Answer

x = 2.5; x = 2

Answer

No Solution

Question 9

| k - 3 | < -1

Accepted Answer

No Solution

Answer

All Real Numbers

Answer

2 < k < 4

Answer

k < 2 or k > 4

Question 10

| 2w - 1 | < 11

Accepted Answer

-5 < w < 6

Answer

No Solution

Answer

All Real Numbers

Answer

-6 < w < 5

Question 11

Solve the absolute Value inequality and graph.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 12

Are these the graphs of two inverse functions?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 13

Describe the transformation FROM dotted TO solid.

Accepted Answer

f(x) + 4

Answer

f(x + 4)

Answer

f(x - 4)

Answer

f(x) - 4

Question 14

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 15

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical stretch by a factor of 3?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 16

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a horizontal compression by a factor of 1/3?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 17

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

Accepted Answer

6x2 + 4

Answer

10x2

Answer

18x2 + 4

Question 18

g(x) = x² - 4

f(x) = x + 2

Find g(f(x))

Accepted Answer

x2 + 4x

Answer

x² + 4x + 8

Answer

x² + 4x - 8

Answer

x2 + 2x

Question 19

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

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 20

What is the inverse of the function
f(x) = 2x + 4 ?

Accepted Answer

f^-1(x) = (x-4)/2

Answer

f^-1(x) = 4(x -2)

Answer

f^-1(x) = x/2 - 4

Answer

f^-1(x) = x/4 + 2

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