Question

How do I graph quadratic functions?

Answer 1

You want to find the y-intercept, the x-intercepts (if any), the vertex, axis of symmetry, min or max value, and possibly some other points on the parabola to guide you

Answer 2

what if the axis of symmetry is on a point on the y axis, and another point that i solved for to help me out is also directly on the y axis

Answer 3

use your transformations
\[y=a(x+h)^2-k\]
if a is negative then it is a reflection across the x axis
h if h is +h then move it to the left h units
h if h is -h then move it to the right h units
k if k is +k then move it up k units
k if k is -k then move it down k units

Answer 4

Thanks... but I'm lost! We havn't covered reflections in about a year, and she didn't tell us how or what to reflect, she just told us to do it.

Answer 5

give me a function and I will help you

Answer 6

-y-3x^2=-3. I can get y by itself, and make it positive, thus reversing every other sign... i just can't get anything after that.

Answer 7

\[-y-3x^2=-3\]

Answer 8

is this your function?

Answer 9

yes.

Answer 10

move 3x^2 to the other side
\[-y=3x^2-3\]
divide by -1
\[y=-3x^2+3\]

Answer 11

i got that part, but i just cant figure out how to graph it as a parabala

Answer 12

+3 tells you that it went up 3 units
- sign tells you to reflect across the x axis
3 is your vertical stretch (narrow)

Answer 13

that is very helpful, but i have to find another point that it runs across

Answer 14

There is a cool free program you can use to graph equations
look for winplot under google.
It was invented by a teacher and he made it free to download to students and teacher
Do you have a graphing calculator?

Answer 15

no

Answer 16

(1,0)
just sub x=1 into your equation and you get y=0
Think about using winplot, it is a very nice program (easy to use once you get a hang of it)

Answer 17

I hope this helps

Answer 18

thanks very much, and yes it helped very much

Answer 19

anytime :)