SOLUTION: Find equation of the parabola that satisfies the given conditions.
Vertex (-4,-2), focus (-6,-2), and symmetric with respect to the line y=-2
Question 173641: Find equation of the parabola that satisfies the given conditions.
Vertex (-4,-2), focus (-6,-2), and symmetric with respect to the line y=-2 Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! since the focus is to the left of the vertex and the line of symmetry is y=-2
then this parabola has to take the form of and has to open to the left. furthermore since we know the vertex we can plug in that info
: so now all we have to do is figure out what p is....since the focus is a distance of 2 units to the left of the vertex this means p=-2
:
4(-2)=-8
:
so we have a final equation of
:
(