Write the coordinates of the vertices after a dilation with a scale factor of 2, centered at the origin. P(-3,3)
Q(-1,3)
R(-1,5)
S(-3,5)

How to
P'( , ), Q'( , ), R'( , ), S'( , )

We are given the quadratic function:

The vertex form is given by:

So we have to convert our quadratic form into this vertex form.

We can do so by applying factoring by completing the square method.

Step 1:

We take half of coefficient of x and add it to x.

Coefficient of x is 14, half of it is 7.

(x+7)²

Step 2:

Subtract square of 7 that is 49,

(x+7)²-49+40

(x+7)²-9

The vertex form is given by: