Question

What is the image of (0,0) after a dilation by a scale factor of 1/4 centered at the origin?

Answer 1

`A^(\prime)=(0,0)`

Step-by-step explanation

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

`\begin{gathered} A^(\prime)=k(A) \\ \text{wher k is the constant, A' the image , and A is the preimage} \end{gathered}`

Step 1

Let

k=1/4

A=(0,0)

A'=unknow

replace

`\begin{gathered} A^(\prime)=k(A) \\ A^(\prime)=(1)/(4)(0,0) \\ A^(\prime)=((1)/(4)\cdot0,(1)/(4)\cdot0) \\ A^(\prime)=(0,0) \end{gathered}`

I hope this helps you