Transformations of the Linear Parent Function

Transformations of the Linear Parent Function

9th Grade

10 Qs

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Transformations of the Linear Parent Function

Transformations of the Linear Parent Function

Assessment

Quiz

Mathematics

9th Grade

Medium

AI.9.3.E

Standards-aligned

Created by

Katherine Meis

Used 1+ times

FREE Resource

10 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

The graph of f(x) = x is transformed to create the graph of g(x) = 1/2 f(x) + 3. Complete the statement to compare the graphs of f and g.

The graph of g is​ (a)   than the graph of f and has a y-intercept that is ​ (b)   that of f.

steeper
less than
less steep
greater than

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of the function f(x) = x is transformed to form function g(x) such that g(x) = 3f(x). Which graph represents f and g?

Media Image
Media Image
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Media Image

3.

MATH RESPONSE QUESTION

2 mins • 1 pt

Media Image

The graph of linear function h is shown on the grid.

Given f(x) = x and h(x) = af(x), what is the value of a?

Mathematical Equivalence

ON

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Linear parent function f is graphed on the grid.

Which graph best represents h(x) = -f(x) + 3?

Media Image
Media Image
Media Image
Media Image

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid.

Which statement describes how the graphs of f and g are related?

The graph of f is shifted 3 units up to create the graph of g.

The graph of f is steeper than the graph of g.

The graph of f is shifted 3 units down to create the graph of g.

The graph of f is less steep than the graph of g.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to 2/3 and the y-intercept to 4. Which statement about the relationship between these two graphs is true?

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

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