Question

I need serious help please!!!!!!!!!! I will give medal and be a fan if helped.


F(x) =-16x^2 +22x+ 3

Part A: What are the x-intercepts of the graph of the f(x) ? Show your work

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work

Part C: What are the steps you would use to graph f(x)? Make sure that you can use the answers obtained in Part A and Part B to draw the graph

Answer 1

Part A.
x-intercepts are going to be the values of x where the entire function is equal to zero.

Answer 2

awesome thank you rare you able to do B as well?

Answer 3

A isn't quite done yet, I've only told you how to do it.

Answer 4

I figured so

Answer 5

So... since you're ready to do B, I suppose you have your answers to A?

Answer 6

haha sadly no I don't have the answer when I thought I did.

Answer 7

Solve the quadratic equation
\[\Large -16x^2+22x+3=0\]using whatever method you're comfortable with, maybe quadratic formula/

Answer 8

can I use the quadratic formula

Answer 9

Yup... go right ahead :)

Answer 10

x=3/2,-1/8 is the answer right?

Answer 11

Okay, that's right.
Now, B is relatively straightforward... it's a maximum if the coefficient of x^2 is negative, and it's a minimum if the coefficient of x^2 is positive.

The vertex of a quadratic equation of the form \[\Large \color{blue}ax^2 + \color{red}bx + \color{green}c\] always takes the form
\[\Large \left(-\frac{\color{red}b}{2\color{blue}a}, \frac{4\color{blue}a\color{green}c - \color{red}b^2}{4\color{blue}a}\right)\]
Just plug in the values and solve ^_^

Answer 12

what Values do I plug in?

Answer 13

a is the coefficient of the x^2
b is the coefficient of the x (the one with no exponent)
c is the constant

Answer 14

Anyway, you should already know these a, b, and c values, they are the same values as the one you used when you used the quadratic formula.

Answer 15

sorry its just that i am in a bit of o hurry to get this assignment done because i am going hunting for the first time today so all I have been looking for today is straight up answers.

Answer 16

and I forget what coefficient means and what u mean by constant

Answer 17

I suggest you go hunting now, and enjoy, and then come back to this problem when you have nothing else in your mind, because doing maths like this tends to take focus, and patience.

Also, I'll be suspended if I give answers straight out. :)

Answer 18

where will u get suspended from?

Answer 19

This website.
And besides, if you didn't know what a, b, and c were, how did you use the quadratic formula? :/

Answer 20

I used something to help me lets say for now.

Answer 21

I see. Well, I'm trying to help you, but I need your cooperation and patience... but you certainly seem to be in a hurry, so just enjoy your hunting trip first, before relaxing and doing maths ^_^

Answer 22

I apologize for lying to u

Answer 23

No problem, just don't make a habit of it ^_^

Answer 24

also I should tell you im home schooled and I have to get this done today or ill be screwed tomorrow and ill be out hunting until around 9pm

Answer 25

Well then, put more effort into it, and try to put some speed, too.
What are a, b, and c?

(Also, no chance of reducing hunting time? Get your priorities straight)

Answer 26

This has been planed for quit a while so it would have been messed up to reduce the time plus night time is when the hogs come out.

Answer 27

Bummer. So I guess the best course of action is to just get this done as quickly as you can, and that begins with correctly identifying your values for a, b, and c. :)

Answer 28

apparently so.

Answer 29

So... figured them out yet?
It's not nearly as hard as you might think, the values for a, b, and c are literally right in front of you :)
Example:
\[\large 2x^2 - 7x +9\]
a here is 2, the number next to x^2
b here is -7, the number next to x
c here is 9, the number with no x

Now, try with your expression.
\[\Large -16x^2+22x + 3\]

Answer 30

Oh, and fair warning ^_^
I'm so sleepy right now, I could fall asleep anytime without remembering to notify or log out, so you might want to keep that in mind :)

Answer 31

-16=a 22=b 3=c

Answer 32

That's better. So plug into the vertex formula and find your vertex point ^_^

Answer 33

Vertex Formula
\[\Large \left(-\frac{\color{red}b}{2\color{blue}a}, \frac{4\color{blue}a\color{green}c - \color{red}b^2}{4\color{blue}a}\right)\]

Answer 34

to be honest here I have never heard of the vortex point.

Answer 35

Im I 9th grade FYI