Question

Describe the transformations of : f(x)=x^2 to g(x)=3(x+5)^2+2

Help!!!

Answer 1

see explanation

Explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a vertical shift up of c units

• If c < 0 then a vertical shift down of c units

Given

g(x) = (x + 5)² + 2

This represents a shift to the left of 5 units and a shift up of 2 units