Question

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

vertically stretched by a factor of 2,
shifted up 5 units, and
shifted right 4 units.
Explain how your function accomplishes these transformations.
See I don't know if you can choose whichever parent function to start off.

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.

#teamtrees #PAW (Plant And Water)