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# Transformation of a function?

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.

### 1 Answer

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- hayharbrLv 72 months agoFavorite 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)

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