Question

Assume the point (10,20) belongs to the graph of f(x) what point belongs to the graph of y = f( x - 5 )(15,20) (10,25) (5,20) (10,15)

Answer 1

(15, 20)

Step-by-step explanation:

If the point (10,20) belongs to the graph of f(x), a function that satisfies this point for example could be:

`f(x)=2x`

When x is replaced with x-5, we have:

`\begin{gathered} f(x-5)=2(x-5) \\ =2x-10 \end{gathered}`

Therefore, when x=15

`\begin{gathered} f(x-5)=2(15)-10 \\ =30-10 \\ =20 \end{gathered}`

A point that belongs to the graph of y = f(x-5)​ is (15, 20).