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

(-4,7)

Step-by-step explanation:

Given

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

Required

Find the coordinates of f(x+3)

The given parameter can be rewritten as

We're to solve for

By comparing to ;

The expressions in the bracket implies that

Subtract 3 from both sides

Stil comparing

to ;

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

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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.