Which transformation will map figure q onto figure q'? two congruent trapezoids figure q and figure q prime are drawn on a coordinate grid. figure q has vertices at negative 9, 3, negative 2, 3, negative 4, 5, and negative 6, 5. figure q prime has vertices at 2, 3, 9, 3, 7, 5, 5, 5 horizontal translation of 11 units reflection across y-axis horizontal translation of 4 units reflection across x-axis

From the graph below you can see that from one point to the other point is a horizontal shift of 11 units

So... your answer is Horizontal translation of 11 units

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this