Question

y=x2-14x+44 find the domain and range, and the vertex of the following parabola. Show all work? Help?

Answer 1

@laughoutloud

Answer 2

hey do want to know how to do it or just the answer either way doesn't matter to me

Answer 3

Well, everytime I try to solve the vertex my teacher keeps saying its wrong. So I need help with that. Also with the whole domain and range thing.

Answer 4

@laughoutloud By the looks of his username, I think he wants to learn how to do it instead of just getting an answer.

Answer 5

Yeah, I'd love to learn how to do it XD

Answer 6

ok, to find the vertex you need to use the formula \[\frac{ -b }{ 2a }\]

Answer 7

Alright. So do I plug the x^2 into the 2a or the -b?

Answer 8

that is going to help you find the x value

Answer 9

and the -14 into the -b?

Answer 10

you plug in \[\frac{ 14 }{ 2 }\]

Answer 11

OK.

Answer 12

That'd make X a 7?

Answer 13

yes so x = 7 now you have to find the y value.

Answer 14

What do you think you have to do?

Answer 15

Alright, so I just plug 7 into all the X values

Answer 16

yes

Answer 17

Okay... Lemme solve it real quick

Answer 18

y=(7)^2 - 14(7) + 44
y = 49 - 98 + 44
y = -49 + 44
y = -5

Is this correct?

Answer 19

yes, I got the same

Answer 20

so the vertex is?

Answer 21

So, for the vertex it's (7, -5) right?

Answer 22

yes

Answer 23

Alright, how do we find the domain / range?

Answer 24

the domain is going to be all of the x-values when this is graphed do you reach all of the x's eventually its kinda hard to explain

Answer 25

That probably doesn't make sense

Answer 26

Yeah... That's where I'm confused.

Answer 27

Ok domain is all real

Answer 28

Okay, sorry to trouble you more about the question... But sense I do all this stuff online and I'm just reading the stuff... How might I find the real numbers to explain to a teacher?

Answer 29

sorry I'm not very good at explaining @carolinar7

Answer 30

Alright, so.... Can you tell me how you got to your answer perhaps? @laughoutloud?