Question

F(x) = x
Horizontal stretch by a factor of 2
Shift left 3 units
. Shift up 5 units

Answer 1

f(x) = 0.5(x + 3)^2 + 5.

Explanation:

The horizontal stretch is given by multiplying by 1/2 or 0.5:

f(x) = 0.5x^2

Now a shift of 3 to the left gives f(x) = 0.5(x + 3)^2.

5 units up gives 0.5(x + 3)^2 + 5.