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

Question

Alex Ar [27]

2 years ago

9

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.

Mathematics

2 answers:

Mamont248 [21] · Answer 1 · 2022-04-14T08:10:03+03:00

Answer:

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

Lina20 [59] · Answer 2 · 2022-04-14T06:10:35+03:00

Answer:

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.