Draw the image of ABC under a dilation with scale factor 2 and center of dilation (-5, -4)

Step-by-step explanation:

if the dilation factor is at (-5, -4) plot that point

then the points A( -4, -1), B( -4, -3) and C( -1, -3) has to be at equal distance from the dilation point on the other side of them to be twice as big.

See the attached picture.

A'(-3, 2), B'( -3, -2), and C'( 3, -2)

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