3. There are other graph transformations besides the ones we've considered - you can probably think of some. Using Desmos.com or your favorite graphing utility, try the following experiment: 2 Graph y = x. Then, on the same axes, plot the graph – x +y = (x+ y). This is a (very messy looking) graph transformation! I'm replacing y with - x+ y and replacing x with x+ y. Can you see what effect this transformation had on the graph? To confirm your guess, pick another graph you like and perform the same transformation. Sketch the results as well as giving your conjecture as to what this trans- formation does. Later in the term we'll be able to understand where this formula came from!

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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3. There are other graph transformations besides the ones we've considered - you can
probably think of some. Using Desmos.com or your favorite graphing utility, try the
following experiment:
2
Graph y = x². Then, on the same axes, plot the graph – x + y = (x+ y)*.
This is a (very messy looking) graph transformation! I'm replacing y with - x+ y
and replacing x with x+ y. Can you see what effect this transformation had on
the graph? To confirm your guess, pick another graph you like and perform the same
transformation. Sketch the results as well as giving your conjecture as to what this trans-
formation does. Later in the term we'll be able to understand where this formula came
from!
Transcribed Image Text:3. There are other graph transformations besides the ones we've considered - you can probably think of some. Using Desmos.com or your favorite graphing utility, try the following experiment: 2 Graph y = x². Then, on the same axes, plot the graph – x + y = (x+ y)*. This is a (very messy looking) graph transformation! I'm replacing y with - x+ y and replacing x with x+ y. Can you see what effect this transformation had on the graph? To confirm your guess, pick another graph you like and perform the same transformation. Sketch the results as well as giving your conjecture as to what this trans- formation does. Later in the term we'll be able to understand where this formula came from!
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