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Translate each graph as specified below. (a) The graph of y=x is shown. Translate it to get the graph of y (x-4). (b) The graph of y=x is shown. Translate it to get the graph of y=x+2.

Translate each graph as specified below. (a) The graph of y=x is shown. Translate it to get the graph of y (x-4). (b) The graph of y=x is shown. Translate it to get the graph of y=x+2.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Initial Knowledge Check** **Translate each graph as specified below.** **(a) The graph of \(y = x^2\) is shown. Translate it to get the graph of \(y = (x - 4)^2\).** - *Graph Description for Part (a)*: The graph is a standard parabola opening upwards, centered at the origin (0,0). **(b) The graph of \(y = x^2\) is shown. Translate it to get the graph of \(y = x^2 + 2\).** - *Graph Description for Part (b)*: The graph is a standard parabola opening upwards, centered at the origin (0,0). *Translation Explanation*: - For **(a)**: Translate the graph horizontally 4 units to the right. - For **(b)**: Translate the graph vertically 2 units up. The problem asks you to recognize how the basic parabola \(y = x^2\) shifts when modified by different translations, either horizontally or vertically, corresponding to changes in the equation's parameters.
Transcribed Image Text:**Initial Knowledge Check** **Translate each graph as specified below.** **(a) The graph of \(y = x^2\) is shown. Translate it to get the graph of \(y = (x - 4)^2\).** - *Graph Description for Part (a)*: The graph is a standard parabola opening upwards, centered at the origin (0,0). **(b) The graph of \(y = x^2\) is shown. Translate it to get the graph of \(y = x^2 + 2\).** - *Graph Description for Part (b)*: The graph is a standard parabola opening upwards, centered at the origin (0,0). *Translation Explanation*: - For **(a)**: Translate the graph horizontally 4 units to the right. - For **(b)**: Translate the graph vertically 2 units up. The problem asks you to recognize how the basic parabola \(y = x^2\) shifts when modified by different translations, either horizontally or vertically, corresponding to changes in the equation's parameters.
Expert Solution
Step 1

Given,

The graph of y=x2 .

a

We have to translate it to get the graph of y=x-42

b

We have to translate it to get the graph of y=x2+2

steps

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