Chapter 3: Q. 4 (page 155)

To graph $y = (x - 4)^{2}$ , you shift the graph of $y = x^{2}$ to the a distance of units.

Short Answer

Expert verified

Shift the graph of $y = x^{2}$ to the right a distance of 4 units.

Step by step solution

Step 1. Given information.

The given equations are:

$y = {(x - 4)}^{2} y = x^{2}$

Step 2. Determine the type of shift.

If the argument $x$ of a function $f$ is replaced by $x - h, h > 0$ , the graph of the new function $y = f (x - h)$ is the graph of $f$ shifted horizontally right $h$ units.

The function $y = {(x - 4)}^{2}$ is in the form of $y = f (x - h)$ , where $h = 4$ . It means the graph of $y = x^{2}$ shifts 4 units to the right.

Step 3. Conclusion.

Shift the graph of $y = x^{2}$ to the right a distance of4 units.

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To graph $y = (x - 4)^{2}$ , you shift the graph of $y = x^{2}$ to the a distance of units.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the type of shift.

Step 3. Conclusion.

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To graph y=(x-4)2, you shift the graph of y=x2to the ______ a distance of ______ units.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the type of shift.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Geometry

Discrete Mathematics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

To graph $y = (x - 4)^{2}$ , you shift the graph of $y = x^{2}$ to the a distance of units.