A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola?
Solution:
It is given that a parabola has a vertex at (-1, 0).
The vertex form: y = a(x - h)2 + k
Then (h; k) the coordinates of vertex
So, (-1; 0) ⇒ h = -1 and k = 0
Hence, y = a(x + 1)2
Since the parabola opens down, a < 0.
Therefore, the equation of the parabola is y = a(x + 1)2.
A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola?
Summary:
A parabola has a vertex at (-1, 0) and opens down. The equation of the parabola is y = a(x + 1)2.
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