If the graph of the function h defined by

h (x) = 5x²-8

is translated vertically upward by 9 units, it becomes the graph of a function g.

Find the expression for g (x).

Question

Mathematics

Mira

15 March, 22:04

If the graph of the function h defined by

h (x) = 5x²-8

is translated vertically upward by 9 units, it becomes the graph of a function g.

Find the expression for g (x).

+2

Answers (1)

Know the Answer?

Sarai Dunn · Answer 1

g (x) = 5x^2 + 1

Step-by-step explanation:

If h (x) is translated by 9 units upwards ... then the graph of;

; g (x) = h (x) + 9

Then substitute the h (x) part by the expression of h (x)

; g (x) = 5x^2 - 8 + 9

; g (x) = 5x^2 + 1 ... is the expression for g (x)

If the graph of the function h defined byh (x) = 5x²-8is translated vertically upward by 9 units, it becomes the graph of a function g.Find the expression for g (x).

If the graph of the function h defined by

h (x) = 5x²-8

is translated vertically upward by 9 units, it becomes the graph of a function g.

Find the expression for g (x).