Triangle abc has vertices a(1 4) b(-2,4) c(-1,-1) . a dilation with a scale factor of 0.25 and center at the origin is applied to the triangle. what are the coordinates of b in the dilated image?

Dilation involves changing the size of a shape

The coordinates of B in the dilated image is (-0.5,1)

The coordinates of B is given as:

B = (-2,4)

The scale factor (k) is given as:

k  = 0.25

The coordinates of B' after the shape has been dilated is then calculated as:

B' = B * k

So, we have:

B' = (-2,4) * 0.25

Evaluate the product

B' = (-0.5,1)

Hence, the coordinates of B in the dilated image is (-0.5,1)

Read more about dilation at:

link

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