Graphing Absolute Values

Graphing Absolute Values

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7D, 6.NS.C.7C

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of an absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Tags

CCSS.6.NS.C.7C

2.

FLASHCARD QUESTION

Front

How do you graph the absolute value function f(x) = |x|?

Back

The graph of f(x) = |x| is a V-shaped graph that opens upwards, with the vertex at the origin (0,0). It is symmetric about the y-axis.

Tags

CCSS.HSF-IF.C.7D

3.

FLASHCARD QUESTION

Front

What effect does the coefficient in front of the absolute value have on the graph?

Back

A coefficient greater than 1 (e.g., 2|x|) vertically stretches the graph, while a coefficient between 0 and 1 compresses it. A negative coefficient reflects the graph across the x-axis.

4.

FLASHCARD QUESTION

Front

What does the expression f(x) = |x - 1| represent?

Back

This represents a translation of the basic absolute value function |x| to the right by 1 unit.

5.

FLASHCARD QUESTION

Front

How does the equation f(x) = |x| + 3 affect the graph of f(x) = |x|?

Back

This equation shifts the graph of f(x) = |x| upward by 3 units.

6.

FLASHCARD QUESTION

Front

What is the vertex of the graph of f(x) = 2|x - 1| + 1?

Back

The vertex is at the point (1, 1). This is the minimum point of the graph.

Tags

CCSS.HSF-IF.C.7D

7.

FLASHCARD QUESTION

Front

How do you find the x-intercepts of the function f(x) = |x - 2|?

Back

Set the equation |x - 2| = 0. The x-intercept is at x = 2.

Tags

CCSS.HSF-IF.C.7D

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?