Graph the image of the given triangle under a dilation with a scale factor of 1/2 and center of dilation (0,0)

We are given : A scale factor of 1/2 and center of dilation (0, 0).

For the given image, the coordinates of the vertices of the triangle are

(0,-6), (0,0) and (8,0).

We can apply formula for finding new coordinates:

Scale factor * [Vertex coordinates of the given image - Coordinate of Center of dilation] +Coordinate of Center of dilation.

Applying same formula to each coordinates we are given.

(0,-6) --> 1/2 [ (0,-6) - (0,0) ] + (0,0) ]  = 1/2 [ (0,-6)] +(0,0) = (0,-3).

(0,0) --> 1/2 [ (0,0) - (0,0) ] + (0,0) ]  = 1/2 [ (0,0] +(0,0) = (0,0).

(8,0) --> 1/2 [ (8,0) - (0,0) ] + (0,0) ]  = 1/2 [ (8,0)] +(0,0) = (4,0).

Now, we can plot those resulting coordinates on the graph and form a triangle

.

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step-by-step explanation:

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step-by-step explanation: