Question

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?

g(x) = –9(x + 1)2 – 7
g(x) = 4(x – 3)2 + 1
g(x) = –3(x – 4)2 – 6
g(x) = 8(x – 3)2 – 5

Answer 1

g(x) = 8(x – 3)^2 – 5

Reason: a = 8 > 0 so the parabola opens up (has a minimum). (x – 3) shifts it right 3, and –5 shifts it down 5.