graph the image of parallelogram stuv after a dilation with a scale factor of 4, centered at the origin.

Explanation:

Step1: Identify the coordinates of the parallelogram vertices

From the graph, assume (S(-3,-2)), (T(-1,-2)), (U(1,1)), (V(-1,1))

Step2: Apply the dilation formula

For a dilation centered at the origin with scale - factor (k = 4), the formula for the image of a point ((x,y)) is ((kx,ky)). For point (S(-3,-2)): ((4\times(-3),4\times(-2))=(-12,-8)) For point (T(-1,-2)): ((4\times(-1),4\times(-2))=(-4,-8)) For point (U(1,1)): ((4\times1,4\times1)=(4,4)) For point (V(-1,1)): ((4\times(-1),4\times1)=(-4,4))

Step3: Graph the new parallelogram

Plot the points ((-12,-8)), ((-4,-8)), ((4,4)), ((-4,4)) and connect them in order to form the dilated parallelogram.

Answer:

Graph the parallelogram with vertices ((-12,-8)), ((-4,-8)), ((4,4)), ((-4,4)) on the given coordinate - plane.