Question

Write a cubic function that has been reflected about x-axis, vertically stretched by 3, and up 7.
a. y = (-3x)^3 + 7
b. y = -3(x + 7)^3
c. y = (-3x + 7)^3
d. y = -3(x)^3 + 7

Answer 1

general form
\[y = \pm a (x-h)^{3} +k\]
a -> vertical stretch = 3
h -> horizontal shift = 0
k -> vertical shift = 7
reflection makes it "negative"