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Which is the equation of a parabola with Vertex (0, 0) and focus (-3, 0)?

2 Answers

6 votes

B on edg. 2020

y^2 = -12x

User Yanni Wang
by
4.1k points
4 votes

Answer:

-12x = y^2

Explanation:

Notice that the vertex and the focus are both located on the horizontal line y = 0 (that is, on the x-axis).

Because the focus is to the left of the vertex, we know that the parabola opens left.

The distance between focus and vertex is 3 units.

We'll adapt this equation: 4px = y^2. Here p is -3:

4(-3)x = y^2, or

-12x = y^2

User George Lica
by
3.7k points