Question

Create a quadratic function, f(x), in vertex form. The a should be between 4 and –4, the h will be your birth month, and the k will be your birth day. Write your equation below.

Using complete sentences, explain how to convert your birthday function into standard form.

Graph your function. Include your graph below.

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

Answer 1

i need help i have no idea what to do

Answer 2

Do you know what a quadratic function is?

Answer 3

f(x)=a(x-h)^2+k

Answer 4

Just give this a read, it will help you.
http://www.mathsisfun.com/algebra/quadratic-equation-graphing.html

Answer 5

ok

Answer 6

I looked at the link you sent me and I get how to solve the equation but I'm not sure how they are graphing it.

Answer 7

Well finish of the equation, and then post it here, I'll help you graph it then.

Answer 8

ok so I got f(x)=a(x-h)^2+k
My birthday is January 9th so I would use that and plug it into the equation.
a can be anything between 4 and -4 so I will use 2.
f(x)=2(x-1)+9
2x-2+9
2x+7

Answer 9

To get it in standard form it has to look like this y=ax^2+bx+c

Answer 10

So I would simplify it by getting rid of the parenthesis
f(x)=2(x-1)+9
f(x) is the same thing as y so
y=2x-2+9
y=2x+7

Answer 11

so then would I just graph y=2x+7?

Answer 12

Did you get the link I messaged you, because you're not doing it right.

Answer 13

yes

Answer 14

Im not sure what I did wrong fo rthe first question it is just asking for a formula not to solve it and it has to have h and k in it

Answer 15

Yes

Answer 16

the second question is to take that formula and everything i have substituted into it and put it in standard form

Answer 17

then the 3rd question I need help with the graphing

Answer 18

\[f(x)=a(x-h)^2+k ~~~~ general~quadratic~ form\]
Let a = 1

And fill in the rest

Answer 19

1.Create a quadratic function, f(x), in vertex form. The a should be between 4 and –4, the h will be your birth month, and the k will be your birth day. Write your equation below.

2.Using complete sentences, explain how to convert your birthday function into standard form.

3.Graph your function. Include your graph below.

4.Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

Lets do this in order so for 1 you just need to make the equation like I showed you above.

Answer 20

Put h as your month and k as the day, so fill that in and you'll be done 1, once you do that, we'll move onto number 2.

Answer 21

My birthday is january 9th
f(x)=a(x-h)^2+k
f(x)=1(x-1)^2+9

Answer 22

Alright good, so that's all you have to do for #1

Lets move onto #2 now.

Answer 23

ok

Answer 24

This one you should be able to do on your own, all you have to do is take the form you have and make it into the standard form
\[ax^2+bx+c = 0\]

Answer 25

Yes this time you foil.

Answer 26

f(x)=1(x-1)^2+9
1(x-1)(x-1)+9
something like this

Answer 27

Yes, foil it out

Answer 28

You can ignore the a = 1 part, we chose it because of this reason, it's easier for us :).

So what's (x-1)(x-1)+9?