Question

Y=x^2+5x+6 graph each parabola, give its vertex axis, x-intercept,y intercept. Can someone teach me how to do this?

Answer 1

k, let's walk through it.

Answer 2

Thank you

Answer 3

See if this makes sense: https://drive.google.com/file/d/0B5q8dbsgquFmQjJFcXJjVkgySFE/edit?usp=sharing

Answer 4

I cant see anything

Answer 5

Nevermind got it...hold on

Answer 6

Okay i understand....Next

Answer 7

Part 2: https://drive.google.com/file/d/0B5q8dbsgquFmV0tWUVhKa3pXaUE/edit?usp=sharing

Answer 8

So the x intercept is -2,-3

Answer 9

???

Answer 10

yes

Answer 11

There is two of them in this case.

Answer 12

okay....Next

Answer 13

The graph crosses the x-axis twice: https://www.desmos.com/calculator/xx0vrdccd8

Answer 14

You get how to use the quadratic formula and plug in "A", "B", and "C"?

Answer 15

I have the answers for these questions and they dont match what you did

Answer 16

answer wise or process wise?

Answer 17

The Vertex is (-5/4,-1/4); axis is x=-5/2

Answer 18

yes, we haven't done the vertex yet.

Answer 19

oh okay

Answer 20

continue

Answer 21

This part may be confusing if you're not good at fractions

Answer 22

https://drive.google.com/file/d/0B5q8dbsgquFmVER5VHI2SzdlUE0/edit?usp=sharing

Answer 23

you can zoom into the picture.

Answer 24

@jbell0385 how did you got 24/4?

Answer 25

I wanted all the bottoms to be the same number (4). 24/4 equals 6, so they are the same thing.

Answer 26

Once you have the same bottom number, you can add the top numbers.

Answer 27

I get it..So we got the vertex...now why does it say the axis is x=-5/2??

Answer 28

It's a little hard to explain over the internet, but the vertex is the very bottom point of the parabola.

Answer 29

It's basically in the middle of the shape.

Answer 30

i know what your talking about

Answer 31

So if you drew a line straight up and down at x=-5/2 you would chop the parabola in half.

Answer 32

So they call it the line of symmetry. It will always be the "x" value of your vertex.

Answer 33

oh i get it

Answer 34

You just have to get used to doing those 3 steps over and over until it becomes comfortable.