The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?
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OpenStudy (anonymous):
OpenStudy (anonymous):
@mathmale this question is a little different
OpenStudy (anonymous):
@rebeccaxhawaii
OpenStudy (anonymous):
@Directrix
Directrix (directrix):
Vertex Form of Parabola
y = a*(x -h)² + k where (h,k) is the vertex
Vertex is (5,5)
y = a*(x -h)² + k
becomes
y = a*(x -5)² + 5
The task is to find a.
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OpenStudy (anonymous):
how do u find a
OpenStudy (anonymous):
how do we solve it
Directrix (directrix):
-1 = a*(6 -5)² + 5
-1 = a* (1) ² + 5
OpenStudy (anonymous):
whats next
OpenStudy (anonymous):
im confused how did we get -6?
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Directrix (directrix):
(6,-1) is a point on the parabola.
That means: -1 = a*(6 -5)² + 5 We have to solve that for a.
-1 = a*(6 -5)² + 5
-1 = a* (1) ² + 5
-6 = a
Directrix (directrix):
The question asks for the coefficient value of the squared term.
y = a*(x -h)² + k
a is the coefficient of the squared term.
a = -6 as we computed.
OpenStudy (anonymous):
can we do a different one?
OpenStudy (anonymous):
Directrix (directrix):
Why do we need to do a different one?
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