The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of f(x)=8x^2-6 . Write a rule for g

Answer 1

f(x)=8x^2-6

f(x) = a (x -h)² + k

horizontal stretch by a factor of 2 -> 1/2 x

2 units up -> k = 2

reflection in y axis -> x value is negative

g(x) = 8*(1/2 x)² - 6 + 2

g(x) = 2 x² -4