Given the equation y = x². (A) On the grid provided, graph this function from x = - 4 to x = 4. (B) On the grid provided, sketch the reflection of this graph across the x-axis. (C) What is the equation of the reflection of the graph of y =x² across the x-axis.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.4: The Slope-intercept Form Of A Linear Equation
Problem 28WE
Question
Given the equation y = x².
(A) On the grid provided, graph this function from x = - 4 to x = 4.
(B) On the grid provided, sketch the reflection of this graph across the x-axis.
(C) What is the equation of the reflection of the graph of y =x² across the x-axis.
(D) Write an equation for which the graph would be a vertical translation three units
upward of the graph of y =x?.
(E) How would you change the equation, y = x², in order to make its graph narrower?
Transcribed Image Text:Given the equation y = x². (A) On the grid provided, graph this function from x = - 4 to x = 4. (B) On the grid provided, sketch the reflection of this graph across the x-axis. (C) What is the equation of the reflection of the graph of y =x² across the x-axis. (D) Write an equation for which the graph would be a vertical translation three units upward of the graph of y =x?. (E) How would you change the equation, y = x², in order to make its graph narrower?
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