A parabola has a vertex at (–5, 0) and passes through the point (–3, 1). Which of the following is the equation of this parabola in the form y=a(x-h)^2+k?
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Answer:
y = 1/4(x + 5)^2
Step-by-step explanation:
Using the given equation form;
(h,k) represents the vertex of the parablola
To get the value of a, we use the given point
So we have;
1 = a(-3 + 5)^2 + 0
1 = a(2)^2
4a = 1
a = 1/4
so we have the equation as;
y = 1/4(x+5)^2 + 0
y = 1/4(x + 5)^2