R-acoN) duch that the graph of matches the figure

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10DE
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Find a and d for x)a cos(x) +d such that the graph of fmatches the figure.
STEP 1:
Find the amplitude of the function.
Amplitude
Smax x) - min
STEP 21
If the function has been reflected over the x-axis, a is equal to the opposite of the amplitude. ir the function has not been reflected over the x-axis, then a is equal to the amplitude. Find
a.
STEP 31
Find the vertical shift of the function.
The vertical shit is
units Select
STEP 4
If the function has been shifted upward, d is equal to the vertical shift. If the function has been shifted downward, d is equal to the opposite of the vertical shift. Find d.
STEP S
For the function x)-a cos(x) +d to match the graph of f, we must have the following.
Transcribed Image Text:Find a and d for x)a cos(x) +d such that the graph of fmatches the figure. STEP 1: Find the amplitude of the function. Amplitude Smax x) - min STEP 21 If the function has been reflected over the x-axis, a is equal to the opposite of the amplitude. ir the function has not been reflected over the x-axis, then a is equal to the amplitude. Find a. STEP 31 Find the vertical shift of the function. The vertical shit is units Select STEP 4 If the function has been shifted upward, d is equal to the vertical shift. If the function has been shifted downward, d is equal to the opposite of the vertical shift. Find d. STEP S For the function x)-a cos(x) +d to match the graph of f, we must have the following.
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