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.

step-by-step explanation:

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value