Identify the parent function for $$g\left(x\right)=\left(x-3\right)^3$$ and describe what transformation of the parent function it represents.

The parent function is the cubic function, $$f\left(x\right)=x^3$$ . $$g\left(x\right)=\left(x-3\right)^3$$ represents a horizontal translation of the parent function 3 units to the right.

The parent function is the cubic function, $$f\left(x\right)=x^3$$ . $$g\left(x\right)=\left(x-3\right)^3$$ represents a horizontal translation of the parent function 3 units up.

The parent function is the cubic function, $$f\left(x\right)=x^3$$ . $$g\left(x\right)=\left(x-3\right)^3$$ represents a horizontal translation of the parent function 3 units to the left.

The parent function is the cubic function, $$f\left(x\right)=x^3$$ . $$g\left(x\right)=\left(x-3\right)^3$$ represents a vertical translation of the parent function 3 units down.

Module 6 Extra Credit

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, HSA.APR.B.3

Standards-aligned

Patricia Selph

Used 5+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following polynomial functions have a graph that intersects the horizontal axis 3 times?

Tags

CCSS.HSA.APR.B.3

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The graph crosses the x-axis two times and is tangent to the x-axis once.

The graph crosses the x-axis three times and is tangent to the x-axis once.

The graph crosses the x-axis four times and is never tangent to the x-axis.

The graph crosses the x-axis three times and is never tangent to the x-axis.

Tags

CCSS.HSA.APR.B.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which is a graph of an even function with a negative leading coefficient?

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.HSF.BF.B.3

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Which of the following polynomial functions have a graph that intersects the horizontal axis 3 times?

Which is a graph of an even function with a negative leading coefficient?

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