Question

An expression is shown below:

f(x) = -16x2 + 24x + 16

Part A: What are the x-intercepts of the graph of 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)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

Answer 1

Just walk me through

Answer 2

@Godlovesme plz help

Answer 3

Yea, I just need help it is confusing

Answer 4

first do you gotta separate the 2 variables so..

0 = (-16x^2 + 24x) + 16
Now you have to factor it so,
0 = (-16x^2 + 24x + 144) + 16

Answer 5

what you do to one side you have to do to the other,
0 = (-16x^2 + 24x + 144) + 16 -144

Answer 6

ok i see and this is for part A?

Answer 7

now just factor it out and combine like terms to get 'x" or your x-corrdinate

Answer 8

I mean intercepts

Answer 9

So 8x^3-16

Answer 10

your x-intercepts should be (2,0) and (0.5, 0)

Answer 11

Oh ok I see now. Are you taking FLVS?

Answer 12

yea, I'm in advanced 8th grade algebra

Answer 13

I am in 9th taking algebra too

Answer 14

Part B is a maximum vertex and part C is just explaining how to graph

Answer 15

Do you know what geogebra is?

Answer 16

It is something my math teacher showed me

Answer 17

can I graph it in there?

Answer 18

no, you can use it to help you explain for like, a reference, but you can't just copy it and present it, you have to explain the steps

Answer 19

Ok can you explain to me what the zero property is I forgot to review that

Answer 20

Thank you for your help. :)

Answer 21

do you mean zeros of a polynomial?