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Tomtit [17]
3 years ago
10

What is an equation of the parabola with vertex at the origin and focus (-6, 0)?

Mathematics
2 answers:
Dahasolnce [82]3 years ago
8 0
Hello,

p is the parameter of the parabola
y²=2px is his equation.
Focus F=(p/2,0)
Directrice x=-p/2

Here p/2=-6==>p=-12
Equation is y²=-24x

Korvikt [17]3 years ago
6 0

Answer:

y^{2}=-24x

Step-by-step explanation:

According to analytic geometry, a parabola is define as

y^{2}=4px

Where p is the coordinate of the focus.

So, the equation for this parabola is

y^{2}=4(-6)x

y^{2}=-24x

The negative sign indicates that the parabola opens leftward. The image attached shows the graph.

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