Restate the definition of a parabola in your own words. Describe how you would calculate the distance from a point to the directrix, and from a point to the focus

Ahas the coordinates (–4, 3) and b has the coordinates (4, 4). if do,1/2(x, y) is a dilation of △abc, what is true about the image △a'b'c'? check all that apply. ab is parallel to a'b'. do,1/2(x, y) = the distance from a' to the origin is half the distance from a to the origin. the vertices of the image are farther from the origin than those of the pre-image. a'b' is greater than ab.

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

If f(x) = 4x – 3 and g(x) = 8x + 2, find each function value a. f[g(3)] b. g[f(5)] c. g{f[g(-4)]}