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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in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol