Tia states that the graph of g (x) = (x - 2) 3 + 7 is a translation of 2 units to the left and 7 units up from f (x) = x3. Is Tia's description of the translations correct? Explain.

No.

Step-by-step explanation:

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.

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.

Step-by-step explanation:

ed 2020