Question

if abcd is dilated by a factor of 2, the coordinate of a would be: a = (?, )

Explanation:

Step1: Find the coordinate of point A

From the graph, the coordinate of point \( A \) is \( (-3,-1) \).

Step2: Apply the dilation formula

When a point \( (x,y) \) is dilated by a scale factor \( k \), the new coordinate \( (x',y')=(k\times x,k\times y) \). Here \( k = 2 \), \( x=-3 \), \( y = -1 \).
So \( x'=2\times(-3)=-6 \), \( y'=2\times(-1)=-2 \).

Answer:

\((-6,-2)\)