Rectangle WXYZ is dilated with center (0,0) and scale factor 3/2, then reflected over the x-axis.Which are the coordinates of the point in the transformed image that corresponds to vertex W?Hint: W (1, -2) Scale factor of 3/2 = 1.5 Multiply the point by 1.5 to find the new point. Then reflect over the x-axis.(Answer choises in pictures.)

Answer:A. [tex](\frac{3}{2},3)[/tex]Step-by-step explanation:The mapping for  a dilation with center (0,0) scale factor [tex]k[/tex] is [tex](x,y)\to (kx,ky)[/tex]Also a reflection over the x-axis has the mapping[tex](x,y)\to (x,-y)[/tex]A dilation with center (0,0) scale factor [tex]\frac{3}{2}[/tex] followed by a reflection over the x-axis will yield.[tex]W(1,-2)\to (\frac{3}{2}\times1,\frac{3}{2}\times -2)\to W'(\frac{3}{2},3)[/tex]The correct choice is A.