Question

@nincompoop

Answer 1

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.

Answer 2

so what is the birthday you've picked?

Answer 3

h = 6
k = 26

Answer 4

My actual bday :)

Answer 5

and it says a between -4 and 4, correct?

Answer 6

The A should be between -4 and 4 so i chose 2.

Answer 7

What did you mention the vertex formula was?

Answer 8

oops

Answer 9

\[
f(x) = 2(x-6)^2 + 26
\]

Answer 10

I dunno where to go from here...

Answer 11

because the vertex of the parabola is \( (h,k) = (6, 26) \) the equation has the form \( f(x) = a(x-6)^2 + 26 \) \( \sf \color{red}{substitute~ h~ and~ k} \), and because you said you picked 2 as your a it becomes \( f(x) = 2(x-6)^2 + 26 \)

so to convert into standard form, we need to expand \( a(x-h)^2 \) by first expanding \( 2(x-h)(x-h) \rightarrow 2(x-6)(x-6) = 2(x^2 - 12x + 36) \) then distribute 2 it becomes \( 2x -24x +72 \) then finally the \( \sf \color{red}{add~the~value~of~k} +26\)

\[
f(x) = 2x^2 -24x + 72+26
\]

Answer 12

Whoa o.o

Answer 13

do you need any more clarification?

Answer 14

Not really o.o
How would i word this?

Answer 15

those are the wordings you use

Answer 16

Okay...next please?

Answer 17

do you know how to graph a quadratic equation?

Answer 18

Well I was going to use desmos graphing for that...

Answer 19

oh laughing out loud
I thought you want to graph it manually

Answer 20

Anything that you would think would benifit me...

Answer 21

it will benefit you to know how to graph

Answer 22

Then lay it on me sire!