SOLUTION: Give the equation or other information on for a parabola, find the matching discription or graph. f(x)-a(x-h)2+k the 2 after ) is square a is less than 0 h is equal to 0

Algebra ->  College  -> Linear Algebra -> SOLUTION: Give the equation or other information on for a parabola, find the matching discription or graph. f(x)-a(x-h)2+k the 2 after ) is square a is less than 0 h is equal to 0       Log On


   

Question 42660This question is from textbook
: Give the equation or other information on for a parabola, find the matching discription or graph.
f(x)-a(x-h)2+k the 2 after ) is square
a is less than 0
h is equal to 0
choices:
a. the graph of f(x) does not intersect x-axis
b. you can not tell from the information given
c. the graph of f(x) interescts the x-axis at one point
d. the graph of f(x) intersects the x-axis at two points This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+a%28x-h%29%5E2+%2B+k
f%28x%29+=+a%28x%29%5E2+%2B+k
vertex: (0,k)
If k is negative, you have no intersection with the x-axis.
If k is zero, you have one intersection with the x-axis.
If k is positive, you have two intersections with the x-axis.
Since the value of a is negative, the parabola opens downward.
The answer is (B).