Question

Consider the function f(x) = 4 + x cos x. Write an equation for : a)...

Consider the function f(x) = 4 + x cos x.

Write an equation for :

a) A function g(x) such that the graph of g(x) is the graph of f(x), shifted 3 units to the right and scaled with factor 1 vertically.

b) A function h(x) such that the graph of h(x) is the graph of f(x), compressed by a factor 3 horizontally and reflected about the y-axis.

Math   Precalculus   
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Homework Answers

Answer #1

we are given

(A)

shifted 3 units to the right

we can replace x as x-3

f(x-3)

scaled with factor 1 vertically

1f(x-3)

(b)

f(x), compressed by a factor 3 horizontally

so, we can replace x as 3x

f(3x)

reflected about the y-axis

we can replace x as -x

f(3(-x))

..........Answer

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