Posted by Kameesha on .
1. Which of the following best describes how the graph of f can be obtained from the graph of y = 1/x^2? f(x) = 4/x^2
a. vertical stretch by a factor of 4
b. horizontal shift of 4 units to the right
c. reflection over the yaxis, vertical shrink by a factor of 4
d. reflection over the xaxis, vertical stretch by a factor of 4
2. Determine the quadratic function f whose vertex is (3, 2) and passes through (2,1).
I have to type the answer in the form of f(x) = ax^2 + bx + c.
I would gladly appreciate the help.

College Algebra 
Steve,
1. you must have a typo. If f(x) = 4/x^2, then (d). Otherwise, none of the above. (a) would also be technically correct, but we don't usually denote stretching by negative values.
2. You know that
y = a(x3)^2  2
so, plug in your point:
1 = a(23)^2  2
a = 3
so, y = 3(x3)^2  2
= 3(x^2  6x + 9)  2
= 3x^2  18x + 25