Search Header Logo
Transformations of Functions Flashcard

Transformations of Functions Flashcard

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an absolute value inequality?

Back

An absolute value inequality is an inequality that involves the absolute value of a variable or expression, representing the distance from a certain value on the number line.

2.

FLASHCARD QUESTION

Front

How do you solve the absolute value inequality |x - a| < b?

Back

To solve |x - a| < b, you split it into two inequalities: a - b < x < a + b.

3.

FLASHCARD QUESTION

Front

What does the inequality |L - 12| ≤ 0.3 represent in the context of manufacturing?

Back

It represents that the acceptable lengths of the rulers can vary from 11.7 inches to 12.3 inches, ensuring they are within a tolerance of 0.3 inches from the target length of 12 inches.

4.

FLASHCARD QUESTION

Front

What is the vertex of the function y = |x - 5| - 3?

Back

The vertex is the point (5, -3), which is the minimum point of the graph.

5.

FLASHCARD QUESTION

Front

How does the graph of y = |x| differ from y = |x - 5|?

Back

The graph of y = |x| is centered at the origin (0,0), while y = |x - 5| is shifted 5 units to the right.

6.

FLASHCARD QUESTION

Front

What is the effect of the negative sign in front of the absolute value in y = -|x|?

Back

The negative sign reflects the graph of y = |x| across the x-axis, creating a downward-opening V shape.

7.

FLASHCARD QUESTION

Front

What does the expression |x + 1| < 3 represent graphically?

Back

It represents the interval where x is between -4 and 2, shown as an open interval (-4, 2) on the number line.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?