Question

What is the equation of this parabola? I came up with y - 2 = 1/12(x - 4)^2.

Answer 1

@radar

Answer 2

y = ax 2 + bx + c

Answer 3

It's supposed to be in the form y - k = 1/4p(x - h)^2 in this case.

Answer 4

standard form
y = ax^2 + bx + c

Answer 5

Yes, but this form is different.

Answer 6

It's what the lesson is about.

Answer 7

vertex form
y = a(x-h)2+k

Answer 8

vertex form
y = a(x-h)^2+k

Answer 9

The textbook doesn't exactly say it is the vertex form, but it says it is "defined in terms of distance."

Answer 10

okay

Answer 11

But yeah, it needs to be in y - k = 1/4p(x - h)^2. Can you check if my answer is right?

Answer 12

vertex form
y = a(x-h)2+k
(h,k) point is the curve point which is (2,1)

Answer 13

Okay

Answer 14

vertex of a parabola is the highest or lowest point (h,k)

Answer 15

Yes, so I have (4, 2) in the equation.

Answer 16

And p is the distance from the focus to the vertex.

Answer 17

vertex is (2,1)

Answer 18

It's (4, 2) since each square is 2 units.

Answer 19

from the plot

Answer 20

Since it says 8 I think each square is supposed to be 2.