Suppose the function h (x) = 2x-9 is translated up 5 united to become a new function, i (x). what the equation of the new function?

a. i (x) = 7x-4

b. i (x) = 2x-4

c. i (x) = 7x-9

d. i (x) - 2x-14

Option B

i (x) = 2x - 4 is the equation of the new function

Solution:

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