Transformation of a function?

Question

Write a quadratic equation with

A vertical stretch by a factor of 2

reflection on the y-axis

a horizontal shift of 4 units left

A vertical shift down 3 units

f(x)=?

Is it f(x) = 2[ - (x+4)]^2 -3

Update:

Find inverse this function.

Answer 1

Favorite Answer

Your f(x) looks good.  To get the inverse you can switch y with x and solve for y (y is f(x)).

x = 2[ - (y + 4)]² - 3

x + 3 = 2[ - (y + 4)]²

(x + 3)/2 = - (y + 4)²

-(x + 3)/2 = (y + 4)²

± √[ - (x + 3)/2] = y + 4 

± √[ - (x + 3)/2] - 4 = y = f inverse

  (it's not a function)