Question

Given that (-3, 5) is on the graph of f(x), find the corresponding point for the function f(x) − 4.

Answer 1

the corresponding point for the function f(x) − 4 is (-3,1)

Explanation:

Given that (-3, 5) is on the graph of f(x),

WE need to find the corresponding point for the function f(x)-4

f(x) means the output y

f(x)-4 means subtract 4 from the output y

In the given point (-3, 5) , x is -3 and y is 5

To get the corresponding point we subtact 4 from y

that is 5-4=1

the corresponding point for the function f(x) − 4 is (-3,1)

Answer 2

the graph of f(x) - 4 is obtained by translating the graph of f(x) 4 units down.
Therefore, the corresponding point for the function f(x) - 4 is (-3, 5 - 4) = (-3, 1).