Question

The function f is defined as follows.

f (x)=-5x²+4
If the graph of f is translated vertically upward by 3 units, it becomes the graph of a function h.
Find the expression for h (x).

Answer 1

The new expression h(x) = 5 x² + 7

Explanation:

Type of transformation change to co-ordinate point

a) Vertical translation up 'd' units (x , y) → (x , y + d)

b) Vertical translation down 'd' units (x , y) → (x , y - d)

c) Horizontal translation up 'c' units (x , y) → (x+ c , y )

d) Horizontal translation down 'c' units (x , y) → (x- c , y )

Given function f (x)=-5x²+4

Vertical translation up '3' units then change to new function

h(x) = 5 x² + 4 + 3

h(x) = 5 x² + 7