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3 years ago

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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2 years ago

<img src="https://tex.z-dn.net/?f=%28%28x%20-%201%29%20%5Cdiv%203%20%29%20-%202%20%5Cleqslant%20%28%285%20-%202x%29%20%5Cdiv%206

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