Let P-6. 4) be a point on rectangle PQRS, What are the coordinates of P’ if the rectangle is dilated by a scale factor of 3/8?

The coordinates of P' are

Step-by-step explanation:

Given a point (x,y). If we have a dilation by a scale factor of r, centered at the origin, we have that the coordinates of (x,y) in the new system is given by (r*x,r*y).

Assumign that this dilation is centered at the origin, then if P is the point (-6,4) then the point P' is

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2