Question

5. At what point of 6. Find the equation of a parabola with vertex at the origin, the axis along x-axis and passing through (2, 3). ​

Answer 1

Answer:

2y^2=9x or 6y^2-27x=0

Step-by-step explanation:

The equation of the parabola, y^2=4ax

and since it passes through the coordinates (2,3) this means that $a=\frac{9}{8}$ so that means the equation for the parabola is $y=44(\frac{9}{8})x$ which equals     6y^2-27x=0 which is one of your answers, but if you simplify it you get your second answer of 2y^2=9x

And please let me know if this helps.

Answer 2

Answer:

The equation of parabola passing through origin and axis along x axis

is given as y

2

=4ax

i) it is passing through (1,−4)

(−4)

2

=4a(1)

16=4a

a=4

⟹y

2

=16x

ii) it is passing through (2,3)

(3)

2

=4a(3)

9=12a

a=

4

3

⟹y

2

=3x