Question

F(x) = 4(x+6)2-3

parabola; vertical stretch:4, horizontal translation right 3, vertical translation down 6.
3
parabola; vertical stretch:4, horizontal translation left 3, vertical translation up 6.
parabola; vertical stretch:4, horizontal translation left 6, vertical translation down 3.
4
parabola; vertical stretch:4, horizontal translation right 6, vertical translation down 3.

Answer 1

• C. parabola; vertical stretch:4, horizontal translation left 6, vertical translation down 3.

Explanation:

Given parabola:

• f(x) = 4(x + 6)² - 3

Its transformations from the parent function g(x) = x² are:

• f(x) = 4*g(x + 6) - 3

• 4 - is a vertical stretch, 6 - is a horizontal shift left, - 3 - is a vertical shift down

Correct choice is C