Describe fully the single transformation that takes shape P to shape Q.

Shape P is similar to shape Q, however, shape P, is smaller than shape Q.

Reasons:

The give figure shows;

The preimage figure = P

The image figure = Q

The image P is larger than the preimage Q, therefore, the figure, Q is a

dilation of the preimage P

The center of dilation is found with the formula;

Where;

(x₁, y₁) = A point on the preimage, P = (2, 3)

(x₂, y₂) = The corresponding point on the dilated image, Q = (4, 9)

k = The scale factor = 3

Therefore;

The center of dilation, (x₀, y₀) = (1, 0)

Therefore;

The single transformation that takes shape P to shape Q is a dilation by a scale factor of 3 with a center of dilation at (1, 0).

Learn more here:

link

Dilation by a scale factor of 3 about (1,0)

Step-by-step explanation:

The transformation is a dilation.

The center of dilation is (2,0), because a system of straight lines drawn through the corresponding points meets at (1,0).

The scale factor of the dilation is 3.

We obtain the scale factor by taking the ratio of a side length of triangle Q divided by the corresponding side length of triangle P.

For instance the ratio of the heights is

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2