Question

Suppose the function h(x) = 2x - 9 is translated up 5 units to become a new function,

i(x)
What's the equation of the new function?

A) i(x) = 2x - 4
B) i(x) = 77-9
C) i(x)= 2x- 14
D) i(x)= 7x- 4

Answer 1

B

Explanation:

Given that the function h(x) = 2x-9 is translated up 5 united to become a new function, i(x)

To find: Equation of new function

The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input.

Adding to the output of a function moves the graph up

Therefore,

Given function is:

h(x) = 2x - 9

Translated up by 5 units

Therefore, new function is:

i(x) = h(x) + 5

i(x) = 2x - 9 + 5

i(x) = 2x - 4

Thus Option B is correct