Sample response; No, Tia is not correct. The function g(x) has an h value of 2 and a k value of 7. This would be a horizontal translation of the parent cubic function of 2 units to the right, rather than the left. Tia was correct about the vertical translation of the parent cubic function of 7 units up.
Compare g(x) = (x – 2)^3 + 7 to f(x) = (x - h)^3 + k. Here, h denotes horizontal translation and k denotes vertical translation. Translation to the left by 2 units would be (x + 2)^3 + 7. Translation to the right by 2 units would be (x - 2)^3 + 7. So, no, Tia's description of horiz. translation is incorrect.
However, her adding 7 does denote a positive vertical translation.
