Question

Describe of location & Equation of parabola
a.Frown, left a.?
b.Frown,middle b.?
c.Frown,right c.?
d.Smile,left d.?
e.Smile,right e.?

Answer 1

Those are the pictures of the questions. Please help!

Answer 2

@ICantNameMe-Please help me! Please!!

Answer 3

All the equations seem to have an amplitude of 1, so you can write them all in vertex form as y = ±(x - h)² + k. Just find the vertex (the point where it turns around (h,k) and plug that in, then put a + in front if it's a 'smile' or a - in front if it's a frown.

Answer 4

ummm.....well, sorry i dont get it. Im so sorry!

Answer 5

do you see at the points (-4,0) and (-1,9) that there are parabolas there that turn around? they have a hump either facing up or down?

Answer 6

Can you show me an example! Just 1 example! Please!

Answer 7

That's what I'm trying to do. Look at the picture, do you see the vertex of each parabola? I just gave you 2 coordinates where vertices occur. Do you understand what the vertex of a parabola is?

Answer 8

Yup, but i thought it is -7,9 & -2,9 & 5,9

Answer 9

Because they all are parabola! bt -4,0 is not

Answer 10

The middle one is (-1,9), not -2. Also, notice the 2 vertices on the bottom.

Answer 11

(-4,0) is the vertex of another parabola, which is facing upwards, as well as (2,0)

Answer 12

i see so i get what is parabola now but how can those things make up an equation??

Answer 13

Well, the equation for a parabola can be written in vertex form, which uses the point you just found, the vertex, generally written as (h,k) in the equation y = (x - h)² + k. Basically, you just plug the numbers in.

Answer 14

For the parabola at (-4,0), you would find the equation to be y = +(x - (-4))² + 0 ... i.e. y = (x + 4)² It's positive because it's facing upwards

Answer 15

The positive in front, I mean.

Answer 16

I see
I get it now..Thanks you so much!