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Misha Larkins [42]
3 years ago
12

Which is the equation of a parabola with vertex (0,0), that opens to the right and has a focal width of 8?

Mathematics
2 answers:
jolli1 [7]3 years ago
6 0

Answer:

Equation of parabola:

y^2=8x

Step-by-step explanation:

A parabola with vertex (0,0), that opens to the right.

The general equation of parabola open right whose vertex (0,0)

y^2=4px

Focal width : Two points opposite to the the focus on parabola.

Distance between these two points is called focal width i,e 4p

Focal width = 8

So, 4p=8

p=2

Focus: (2,0)

Equation of parabola:

y^2=8x

tangare [24]3 years ago
3 0

Answer:

Vertex: V=(0,0)=(h,k)→h=0, k=0

Opens downward:

(x-h)^2=4p(y-k)

Width focal: p=-6<0 (donwnward)


Replacing h=0, k=0 and p=-6 in the equation above:

(x-0)^2=4(-6)(y-0)

x^2=-24y


Answer: The equation of the parabola is  x^2=-24y



Step-by-step explanation:


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