Question

The function g(x) =2x^2+3 is transformed into k(x)=g(x-2)+4.

Write the function for k(x) in standard form

Answer 1

g(x) =2x^2+3

k(x)=g(x-2)+4

k(x) = 2(x - 2)^2 + 3 + 4

k(x) = 2(x^2 - 4x + 4) + 7

k(x) = 2x^2 - 8x + 8 + 7

k(x) = 2x^2 - 8x + 15

Answer

k(x) = 2x^2 - 8x + 15