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Sketch and label the graph of parabola:
Solution:
Consider the given equation above
The given equation is a parabola because only x is the second degree. Let's rewrite the given equation into its standard form as follows
Since x is the second degree and y is negative, then the parabola opens downward.
The vertex of a parabola is V(-3, 0).
The value of a which is the distance of a focus from the vertex is
The vertex of a focus is F(-3, -3).
The length of a latus rectum in which the midpoint is the focus is 4a = 12.
The distance of one end of a latus rectum to the focus is 2a = 6.
The ends of the latera recta are L(-3, 3) and L'(-3, -9).
Here's the graph of a parabola with labels as follows
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| Photo by Math Principles in Everyday Life |