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Transformations of Polynomial Functions

Transformations of Polynomial Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to graph the function f(x) = 1/2(x-1)^4 using transformations. It begins by identifying the basic function x^4 and graphing it. The tutorial then demonstrates how the graph is shifted horizontally by x-1 and how the amplitude is affected by the 1/2 factor, resulting in a squished graph. These transformations help in understanding the graphing process of the given function.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal of the video tutorial?

To solve equations using algebra

To graph the function f(x) = 1/2(x-1)^4 using transformations

To learn about calculus

To understand the properties of logarithms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the basic function identified in the video?

x^3

x^2

x^5

x^4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point does the graph of x^4 pass through?

(1, 0)

(0, 1)

(1, 1)

(0, 0)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following points is on the graph of x^4?

(1, 1)

(4, 16)

(2, 16)

(3, 9)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What effect does the transformation x-1 have on the graph?

Shifts the graph to the left

Shifts the graph to the right

Compresses the graph horizontally

Stretches the graph vertically

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of x-1 to the fourth differ from x to the fourth?

It is compressed horizontally

It is shifted one unit to the left

It is shifted one unit to the right

It is stretched vertically

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which transformation is responsible for shifting the graph horizontally?

x-1

1/2

x+1

2x

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