Question

fan and medal for best answer :)

an expression is shown below:
f(x)=-16x^2+8x+3
part a.) what are the x intercepts of the graph of f(x)? show work

part b.) is the vertex of the graph of f(x) going to be maximum or minimum? what are the coordinates of the vertex? justify answer and show work

part c.) what are the steps you would use to graph f(x)? make sure you can use answer obtained in part a and part b to draw graph.

Answer 1

x intercepts are values of x for y=0
so -16x^2+8x+3 = 0
can you solve this quadratic equation ?

Answer 2

we will solve them one by one
so let's start with the first
do you know the quadratic formula ?

Answer 3

@hoblos is correct! :D

Answer 4

Yes, that's the quadratic formula.
Go to this (for more help)
http://www.purplemath.com/modules/quadform.htm

Answer 5

So first, do you know what x-intercept is?

Answer 6

@31356 thanks :)
@bangbang559
the quadratic formula to solve this quadratic equation is \[x= \frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]

Answer 7

My pleasure :D
Thanks for the medal too :D

Answer 8

You deserve a medal too! :D

Answer 9

Go to the website, it has some given examples too. :D

Answer 10

It does seem confusing at the first place, however practice makes perfect, lol :D

Answer 11

If you don't practice then you're not able to know how to solve problems similar to this :D

Answer 12

Here ask @satellite73 for help. :D

Answer 13

He's good! :D

Answer 14

@some_someone

Answer 15

@secret66

Answer 16

@SnuggieLad

Answer 17

@AuroraB

Answer 18

@MathLegend

Answer 19

Refer to the Mathematica calculation attached.

Answer 20

@robtobey witch answer is this?

Answer 21

@bangbang559

Have you viewed the attachment, bangbang559_2.pdf ?
All of the answers are there.

Answer 22

where are the x intercepts of the graph ? @robtobey

Answer 23

x=-1/4 and x=3/4

Answer 24

Thank you for the medal and have a good day.

Answer 25

anytime :) and you too