Question

Given that (-1,7) is on the graph of f(x), find the corresponding point for the function f(x+3)

Answer 1

(-4,7)

Explanation:

Given

A point on f(x) = (-1,7)

Required

Find the coordinates of f(x+3)

The given parameter can be rewritten as

`f(-1) = 7`

We're to solve for
`f(x+3)`

By comparing
`f(-1) = 7` to
`f(x+3)`;

The expressions in the bracket implies that

`-1 = x + 3`

Subtract 3 from both sides

`-1 - 3 = x + 3 - 3`

`-1 - 3 = x`

`-4 = x`

`x = -4`

Stil comparing

`f(-1) = 7` to
`f(x+3)`;

If f(-1) = f(x + 3) then

`f(x +3)= 7`

Hence, the coordinates of f(x+3) is (-4,7)