Question

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Consider the function. f(x)=2x-6 Match each transformation of f(x) with its description.

g(x)=2x-2 g(x)=2x-14 g(x)=2x-10 g(x)=8x-24 g(x)=8x-4 g(x)=8x-6

shifts f(x) 4 units down stretches f(x) by a factor of 4 away from the x-axis shifts f(x) 4 units right compresses f(x) by a factor of toward the y-axis

Answer 1

See below

Explanation:

Parent function is:

• f(x) = 2x - 6

Transformations are:

shifts f(x) 4 units down

• f(x) → f(x) - 4 ⇒ g(x)= 2x - 6 - 4 = 2x - 10

stretches f(x) by a factor of 4 away from the x-axis

• f(x) → 4*f(x) ⇒ g(x) = 4(2x - 6) = 8x - 24

shifts f(x) 4 units right

• f(x) → f(x - 4) ⇒ g(x) = 2(x - 4) - 6 = 2x - 14

compresses f(x) by a factor of toward the y-axis (must be 4)

• f(x) → f(4x) ⇒ g(x) = 2*4x - 6 = 8x - 6