Which of the following functions translates the graph of the parent function f (x) = x2 vertically up 6 units?

A. g (x) = x^2 + 6

B. g (x) = (x - 6) 2

C. g (x) = x^2 - 6

D. g (x) = (x + 6) 2

Question

Mathematics

Braveheart

31 July, 04:14

Which of the following functions translates the graph of the parent function f (x) = x2 vertically up 6 units?

A. g (x) = x^2 + 6

B. g (x) = (x - 6) 2

C. g (x) = x^2 - 6

D. g (x) = (x + 6) 2

+4

Answers (1)

Know the Answer?

Kyan Blackburn · Answer 1

g (x) = x^2 + 6 (A)

Step-by-step explanation:

Parent function is f (x) = x^2.

The graph is a parabola whose vertex is the origin.

Shifting the graph up 6 units results in the new function g (x) = x^2 + 6 (A)

Which of the following functions translates the graph of the parent function f (x) = x2 vertically up 6 units?A. g (x) = x^2 + 6B. g (x) = (x - 6) 2C. g (x) = x^2 - 6D. g (x) = (x + 6) 2

Which of the following functions translates the graph of the parent function f (x) = x2 vertically up 6 units?

A. g (x) = x^2 + 6

B. g (x) = (x - 6) 2

C. g (x) = x^2 - 6

D. g (x) = (x + 6) 2