Question

Can someone help me out!!!

my birthday is 10/30/2000

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

So what is the vertex form of a quadratic?

Answer 2

yes what is it

Answer 3

oh i already got my equation
y=4(x-10)^2+30

Answer 4

ok it says to write it in standard form

Answer 5

y=ax^2+bx+c

Answer 6

well i got y=4x^2-80x+130 but don't know how to explain it

Answer 7

so you need to multiply (x-10)(x-10) first
then distribute the 4 in front of it

Answer 8

how did you get 130 there?

Answer 9

(x-10)(x-10)=?

Answer 10

y=4(x^2-20x+100)+30
y=4x^2-80x+100+30

Answer 11

you didn't distribute the 4 to all the numbers in the ( )

Answer 12

oh ok

Answer 13

y=4(x^2)-4(20x)+4(100)+30

Answer 14

your first two terms were right
y=4x^2-80x+4(100)+30

Answer 15

but your last term should be 4(100)+30

Answer 16

do you see what I mean

Answer 17

yes

Answer 18

can u plz order the steps

Answer 19

well we did the first step together which was multiplying (x-10)(x-10)
and the distributing the 4 to the product of (x-10) and (x-10)

Answer 20

next step was combining the like terms

Answer 21

to find the average of change from x=a to x=b
you must compute the following:
\[\frac{f(b)-f(a)}{b-a}\]
where \[f(x)=4x^2-80x+430\]

Answer 22

okay

Answer 23

is it f(x)= or y=

Answer 24

@freckles

Answer 25

y=f(x)

Answer 26

i mean is it y= 4(x-10)^2+30or f(x)=4(x-10)^2+30

Answer 27

either

Answer 28

y=f(x)

Answer 29

you can call it either
it is a name
the question said to name it f(x)

Answer 30

ok thx