Write a formula for the function

Question

F(x)= x^2 vertically compressed by factor of 1/6 shifted to the right 5units up1 unit

Answer 1

Alright, let's do this. In order to vertically stretch or compress, we multiply our function by some factor > 0. If it's also < 1, we have vertical compression.

f(x) = (1/6)x²

To shift to the right, we use the opposite sign "with" x.

f(x) = (1/6)(x - 5)²

Lastly, to move up 1, we add "outside" of x.

f(x) = (1/6)(x - 5)² + 1