Which of the following results in the graph of f(x)=x^2 being expanded vertically by a factor of 3 and?

Question

reflected over the x-axis?

a. f(x)=1/3x^2
b. f(x)= -3x^2
c. f(x)= -1/x^2 +3
d. f(x)= -1/3 x^2

Answer 1

perform your transformation on an arbitrary point.

e.g. (2,4) is on the original graph

so a vertical expansion by a factor of 3 would make it
(2,4) ----> (2,12)
then reflect that in the x-axis
(2,12) ----> (2,-12)

now which of your choices would yield that result?