Question

find the vertex and the focus of the quadratic

Answer 1

A) (2, 0), (0, 2)
B) (0, 2), (0, 2)
C) (0, 0), (0, -2)
D) (2, 0), (2,0)

Answer 2

\(x^2 = 4ay\) represents a parabola whose origin is \((0, 0)\)

Answer 3

look at ur options, only one option has origin at (0, 0)

Answer 4

ok so that would be C) vertex (0,0)

Answer 5

the table is very helpful , I'll save it

Answer 6

you can find out the focus from the table as well :

\(x^2 = -8y\)

\(y = \frac{1}{4(-2)}x^2\)

Answer 7

that gives \(c = -2\)

look at the table,
focus = \((0, c) = (0, -2)\)

Answer 8

ok so this is how I can get the y

Answer 9

yes, always change the equation to one of given forms in the table..

Answer 10

got it, thank you so much @ganeshie8 for your help, again :)

Answer 11

np :)