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cestrela7 [59]
4 years ago
11

Which equation represents a parabola opening to the left with a vertex at the origin and a focus at (-7, 0)?

Mathematics
1 answer:
madam [21]4 years ago
4 0

Answer:

<h3>b. x=1/28 y^2</h3>

Step-by-step explanation:

the standard equation,

                      y^{2} = 4ax  ---(1)    , when opening towards left or right

                      focus at (a , 0)

                      x^{2} = 4ay ---(2)      , when opening towards top or bottom

                      focus at (0,  a)

                                             

if a is negative parabola will open toward negative axes ( down or left) and vice versa.

re- arranging option b. we get

                        y^{2} =28 x\\y^{2} = 4 X (-7 x) -----(3)

therefore, a =  -7

(3) is similar to (1)

So it is facing left with focus at (-7,0)

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