The graph of g(x) is a vertical stretch by a factor of 2 and translated left 2 units and up 4 units of f(x)=x^2. Write the equation for g(x)

Answer 1

f(x)= x^2

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

you could stop there, or expand

stretch 2 vertically, shift left 2, up 4

g(x) = 2(x^2+4x+4) +4

=2x^2 +8x +8+4

= 2x^2 +8x+ 12