1.Find the following for the function

f(x)=(x+6)^2(x-2)^2

a. what are the x and y-intercepts?
B. Does the graph cross or touch the x-axis?
c. Does the graph cross or touch the x-axis at the larger x-intercept?

2. Which of the following best describes how the graph of f can be obtained from the graph of y=1/x^2 f(x)= -2/x^2

choose correct answer
a. vertically stretched by a factor of -2
b. reflection over the y-axis, vertically shrink bby a factor 2
c. horizontal shift of 2 units to right
d. reflection over the y-axis, vertically stretch by a factor of 2

I think the answer is d--am I correct?

3 answers

1.
a. (0,144),(-6,0),(2,0)
B. touch
c. touch

2.
(A), if you can have negative stretch. I'd have said stretch by 2, flip over x-axis.
x intercept when y = 0
that would be when x = -6 (bounces off) and when x = 2 (bounces off)
y intercept when x = 0
so when y = 6^2 + 2^2 = 40
sorry, 36 * 4 = 144