Answer:
A''(3/2, -3)
Explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.
If a point A(x, y) is reflected over the x axis, the new point would be A'(x, -y).
If a point A(x, y) is dilated by a factor k, the new point would be A'(kx, ky).
Given that Trapezoid QUAD has vertices at Q(-4, 0), U(-2, 4), A(2, 4) and D(4, 0). If the trapezoid is reflected over the x-axis to create trapezoid Q'U'A'D', the vertices would be at Q'(-4, 0), U'(-2, -4), A'(2, -4) and D'(4, 0).
If trapezoid Q'U'A'D'is dilated by a factor of 3/4 respect to the origin to create trapezoid Q"U"A"D", the vertices would be at Q''(-3, 0), U''(-3/2, -3), A''(3/2, -3) and D''(3, 0)