Ask Question
7 May, 01:13

Suppose that F (x) = x^3 and G (x) = - 5x^3+2. Which statement best compares the graph of G (x) with the graph of F (x) ?

A. The graph of G (x) is the graph of F (x) stretched vertically, flipped over the x-axis, and shifted 2 units to the left.

B. The graph of G (x) is the graph of F (x) compressed vertically, flipped over the x-axis, and shifted 2 units up.

C. The graph of G (x) is the graph of F (x) stretched vertically, flipped over the x-axis, and shifted 2 units up.

D. The graph of G (x) is the graph of F (x) compressed vertically, flipped over the x-axis, and shifted 2 units to the left.

+2
Answers (1)
  1. 7 May, 04:52
    0
    If the parent function f (x) = x^3, then

    g (x) = a f (x-h) + k

    will stretch the parent function by a factor of a, translates to the right by h (h>=0) and translates up k units (k>0).

    For h, k negative, translation moves in the opposite direction.

    Also,

    a>1 is a stretch,

    0
    -1
    a<-1 is a stretch by a factor of |a|, followed by a reflection (flip) about the x-axis.

    Here a=-5, h=0, k=2.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Suppose that F (x) = x^3 and G (x) = - 5x^3+2. Which statement best compares the graph of G (x) with the graph of F (x) ? A. The graph of G ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers