What is the equation of the parabola that has a vertex at # (2, -5) # and passes through point # (3,-105) #?
1 Answer
Feb 22, 2016
Explanation:
Note: The standard form of a parabola is
This problem given the vertext
Passes through the point
We can find
#color(blue)(-105) = a(color(blue)(3-color(red)(2)))^2color(red)(-5)#
#-105 = a(1)^2 - 5#
#-105 = a -5#
#-105 + 5 = a#
#a = -100#
The standard equation for the parabola with the given condition is