Transformations of Functions Quiz

What is the proper absolute value inequality for the graph?

• | x + 1 | < 3
• | x - 1 | > 3

What is the proper absolute value inequality for the graph?

• | x + 1 | < 3
• | x - 1 | > 3

A company manufactures rulers. Each ruler should have a length of 12 inches, with a tolerance of 0.3 inches. Which absolute value inequality represents the acceptable length, L, of each ruler?

• |L - 0.3| ≤ 12

• |L + 0.3| ≤ 12

• |L - 12| ≤ 0.3

• |L + 12| ≤ 0.3

Tags

CCSS.HSA.CED.A.3

This shows the graph of an equation.

• y = |x - 5| - 3

• y = |x + 5| - 3

• y = |x - 3| - 5

• y = |x + 3| - 5

Tags

CCSS.HSF-IF.C.7D

The absolute value function $ f(x) = |x| $ is shifted 2 units to the right, shifted 1 unit up, and stretched vertically by a factor of 4. Which choice represents the new function, g(x)?

• g(x) = 4|x - 2| + 1

• g(x) = |4x + 2| - 1

A company packages 20-ounce bags of flour. The actual weight of each bag can vary by 2 ounces. Sarah purchased 3 bags of flour. Which inequality represents the total weight of flour, y, Sarah bought?

• |y - 3| ≤ 60

• |y - 6| ≤ 60

• |y - 60| ≤ 6

• |y - 60| ≤ 3

Ali has a goal of earning $150 per week at his after-school job. Last week, he was within $25 of his goal. Which inequality models Ali’s earnings, s, last week?

• |s - 25| ≤ 150

• |s - 25| ≥ 150

• |s - 150| ≤ 25

• |s - 150| ≥ 25

Maria has a goal of earning $80 per week at her after-school job. Last week, she was within $7.50 of her goal. Which inequality models Maria’s salary, s, last week?

• |s - 7.50| ≥ 80

• |s - 7.50| ≤ 80

• |s - 80| ≥ 7.50

• |s - 80| ≤ 7.50

The graph of an equation is shown below. Which equation represents the graph?

• y = |x| - 2

• y = |2x| - 2

• y = |x - 2|

• y = |2x - 2|

Tags

CCSS.HSF-IF.C.7D