Given the equation x^{2} = 8y what are the coordinates of the focus

Focus ->

Step-by-step explanation:

Because the x-term is squared, the parabola must be vertical.

Recall that the equation for a vertical parabola is where is the distance from the vertex to the focus and are the coordinates of the focus.

We can tell by the given equation that the vertex must be located at the origin.

Therefore, we can determine the value of having known the vertex and the direction of the parabola:

So, given that , this means that the coordinates of the focus are .

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

i use my brain for prombles like this maybe you could try it

step-by-step explanation: