Question

the equation of the parabola with its vertex at the origin, axis is along x axis and passing through the point (4 -6) is​

Answer 1

Answer:

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Step-by-step explanation:

Given that axis is along the x axis,

So, equation of parabola is of from

y

2

=4ac or y

2

=−4ax

Since (5,3) is in 1

st

quadrant

So, the parabola will of the from

y

2

=4ax

Point (5,3) will satisfy the equation of

parabola

putting x=5,y=3 in equation

(3)

2

=4a(5)

y=20a

a=

20

9

Hence equation of parabola,

putting value of a=

20

9

is

y

2

=4×(

20

9

)×x

y

2

=

5

9

x

5y

2

=9x