Question 1

Which graph represents the equation

y = |x|

?

Accepted Answer

A V-shaped graph that opens upwards starting from the origin

Answer

A circle centered at the origin

Answer

A diagonal line through the origin

Answer

A horizontal line

Question 2

What is the vertex of the graph

y = |x|

?

Accepted Answer

(-1, -4)

Answer

(-1, 4)

Answer

(0, -4)

Answer

(1, -4)

Question 3

If

y = |x|

, what is the vertex of this graph?

Accepted Answer

(5, 7)

Answer

(-5, 7)

Answer

(0, 12)

Answer

(5, -7)

Question 4

What transformation occurs when

y = |x|

is changed to

y = -|x|

?

Accepted Answer

The graph is reflected over the x-axis.

Answer

The graph shifts 2 units down.

Answer

The graph is reflected over the y-axis.

Answer

The graph shifts 2 units to the right.

Question 5

Which of the following describes the transformation of the graph of

y = |x|

to

y = -|x|

?

Accepted Answer

The graph shifts 3 units upwards.

Answer

The graph shifts 3 units downwards.

Answer

The graph shifts 3 units to the right.

Answer

The graph shifts 3 units to the left.

Question 6

What is the effect on the graph of

y = |x|

when transformed to

y = -|x|

?

Accepted Answer

The graph shifts 2 units to the right.

Answer

The graph shifts 2 units down.

Answer

The graph shifts 2 units up.

Answer

The graph shifts 2 units to the left.

Question 7

If the graph of

y = |x|

is plotted, where is the vertex located?

Accepted Answer

(-4, -1)

Answer

(4, 1)

Answer

(-4, 1)

Answer

(0, 3)

Question 8

How does the graph of

y = |x|

compare to the graph of

y = -|x|

?

Accepted Answer

It is a narrower V-shape, stretching vertically by a factor of 2.

Answer

It is shifted up by 2 units.

Answer

It is wider, shrinking vertically by a factor of 2.

Answer

It is shifted down by 2 units.

Question 9

What is the vertex of the graph

y = |x|

?

Accepted Answer

(3, 2)

Answer

(0, 5)

Answer

(-3, 2)

Answer

(3, -2)

Question 10

How does the graph of

y = |x|

compare to the graph of

y = -|x|

?

Accepted Answer

The graph shifts 3 units to the right.

Answer

The graph shifts 3 units upward.

Answer

The graph shifts 3 units downward.

Answer

The graph shifts 3 units to the left.

Question 11

What is the absolute value of

y = |x|

?

Accepted Answer

5

Answer

-5

Answer

10

Answer

0

Question 12

Which of the following expressions represents the absolute value of

y = |x|

?

Accepted Answer

Answer

Answer

Answer

Question 13

What is the absolute value of

y = |x|

?

Accepted Answer

12

Answer

-6

Answer

-12

Answer

0

Question 14

If the absolute value of

y = |x|

is 7, which two possible values could

y = -|x|

be?

Accepted Answer

7 and -7

Answer

14 and -14

Answer

0 and -7

Answer

7 and 0

Question 15

What is the result of

y = |x|

?

Accepted Answer

3

Answer

-5

Answer

5

Answer

-3

Question 16

If

y = |x|

and one of the numbers is

y = -|x|

, what is the absolute value of the other number?

Accepted Answer

7

Answer

-7

Answer

5

Answer

-12

Question 17

What is the sum of the absolute values of

y = |x|

and

y = -|x|

?

Accepted Answer

10

Answer

4

Answer

-10

Answer

-4

Question 18

Which of the following has the greatest absolute value?

Accepted Answer

Answer

Answer

Answer

Question 19

Which of the following statements about the absolute value function is true?

Accepted Answer

The absolute value of any number is always non-negative.

Answer

The absolute value of zero is undefined.

Answer

The absolute value of any number is always negative.

Answer

The absolute value of a number is the number itself, regardless of sign.

Question 20

What is the absolute value of

y = |x|

?

Accepted Answer

5

Answer

8

Answer

-5

Answer

11

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