Question 1

Describe how the graph of $y=x^{2}$ compares to the graph of $y=x^{2}-2$ .

Accepted Answer

Shifted Down 2 Units

Answer

Shifted Up 2 Units

Answer

Shifted Right 2 Units

Answer

Shifted Left 2 Units

Question 2

Given the graph of $f(x)=sin(x)$, describe the shift in $g(x)=2sin(x)$

Accepted Answer

Amplitude is 2

Answer

Period is 2

Answer

Shifted Right 2 units

Answer

Shifted Up 2 units

Question 3

What is the period of the function $y=2sin(x-3)$?

Accepted Answer

2$\pi$

Answer

3

Answer

2

Answer

$\pi$

Question 4

Which of the following sentences is true about the graphs of $y=3(x-5)^{2}+1$ and $y=3(x+5)^{2}+1$ ?

Accepted Answer

The graphs have the same shape with different vertices.

Answer

The graphs have different shapes with different vertices.

Answer

Their vertices are maximums.

Answer

One graph has a vertex that is a maximum, while the other graph has a vertex that is a minimum.

Question 5

Which ordered pair is the vertex of $y=x^{2}+6x+5$?

Accepted Answer

(-3,-4)

Answer

(-1,0)

Answer

(-2,-3)

Answer

(0,-5)

Question 6

How does the graph of  $f(x)=2x+10$ change if the function is changed to $f(x)=-2x+10$ ?

Accepted Answer

The slope would be different, but the y-intercept would be the same.

Answer

The graph does not change at all.

Answer

The y-intercept would be different, but the slope would be the same.

Answer

Both the y-intercept and the slope would change.

Question 7

As the value of $y$ decreases, what happens to the value of $x$ ?

Accepted Answer

The value of x decreases.

Answer

The value of x increases and decreases.

Answer

The value of x increases.

Answer

The value of x stays the same.

Question 8

What is the vertical shift of the function $f(x)=(1/3)cos(4x-16\pi/3)-5$

Accepted Answer

-5

Answer

1/3

Answer

16

Answer

4

Question 9

What is the horizontal shift of the function $f(x)=4cos(x)$?

Accepted Answer

0

Answer

4

Answer

1

Answer

2$\pi$

Question 10

What is $f(m+2)$?

Accepted Answer

$7m+21$

Answer

$7m+14$

Answer

$7m+9$

Answer

$7q+9$

Question 11

What is $(f+g)(x)$?
$f(x)=-2x^{2}-3x$
$g(x)=-5x+1$

Accepted Answer

$-2x^{2}-8x+1$

Answer

$-5(-2x^{2}-3x)+1$

Answer

$-2(-5x+1)^{2}-3(-5x+1)$

Answer

$-2x^{2}+8x+1$

Question 12

What is $(f(g(x))$?

Accepted Answer

$9x^{2}+12x+4$

Answer

$9x^{2}-12x-4$

Answer

$-9x^{2}+12x+4$

Answer

$-9x^{2}-12x+4$

Related quizzes

Related quizzes