Question

DUE soon! For an unknown parent function f(x), write a function g(x) that is:

Answer 1

Answer and Step-by-step explanation:

The parent function is just f(x) = x.

See, the transformations equation of a parent function is as follows:

f(x) = a(x - h) + k

Where:

a is the scaling factor,

h is the horizontal (left and right) changing factor, and

k is the vertical (up and down) changing factor.

So, now we apply the transformations to this parent function by writing it in function g(x).

Vertically stretch by factor of 2: g(x) = 2x

Shifted up 5 units: g(x) = 2x + 5

Shifted left 4 units: g(x) = 2(x - 4) + 5

g(x) = 2(x - 4) + 5 is the function.

This function accomplishes these transformation by having 2 be the scale factor, 4 be the horizontal shift, and 5 be the the vertical shift.

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