Question

Word problem help please.

Answer 1

ok so I know I need to find the vertex and solve for

y=a(x-h)^2+k

V=(4.5,3) I think?

and I know the frog started at ground 0 so I can use point (0,0)

0=a(0-4.5)^2+3

Please let me know if I am on the right path. Another thing throwing me off is it says a=1.5
Do I multiple that by what I solve a for?

Answer 2

Do you have the vertex?

Answer 3

The \(x\) coordinate will be half way between 0 and 9.

Answer 4

The \(y\) coordinate is 3 times a.

Answer 5

Correct so 4.5, and how I find the y value of the vertex? I need it to find a correct?

Answer 6

ok what is the equation you gave p(x) never seen or maybe its just alot together

Answer 7

ok I understand that. I am just unsure where some of the number come from like 1(x-4.5)^2+3a comes from

Answer 8

and then why we set it equal to (x-4.5)^2+4.5

Answer 9

my bad. ignore what i wrote

Answer 10

Ok so how would you solve for a without y coordinate of vertex

Answer 11

Ok wait a=1.5 so it would be 3(1.5) so the vertex would be (4.5,4.5) right?

Answer 12

Yes you have the correct vertex at (4.5, 4.5)

Answer 13

ok so know I solve it like

0=a(0-4.5)^2+4.5?

Which gives me a allowing me to get standard form?

Answer 14

You will get the "a" from that. Then put the parabolic equation in the standard form.

Answer 15

You can factor out 4.5 from 0=a(0-4.5)^2+4.5

Answer 16

So what would be my answer for a because I keep getting wacky fractions

Answer 17

a = -1/4.5 ?

Answer 18

yes

Answer 19

or a = -2/9

Answer 20

first

Answer 21

they are the same but I prefer a = -2/9

Answer 22

so y=-2/9(x-4.5)^2+4.5

Answer 23

Yes. But you need to expand (x - 4.5)^2 and simplify y. Also 4.5 can be written as 9/2. But it is up to you.

Answer 24

Ok Thanks. While I have you here I have almost all the answers to another problem included here

Answer 25

Now I know you distribute. x(800-3x)/4.

Now I know 200x the part that confuses me is the second part is it -3x^2/4

and if so how do I get it into

-(b/2(a))

Answer 26

-3/4x^2 + 200x

Compare it to ax^2 + bx + c

a = ? b = ?

Answer 27

Ok yeah I did that and got 133.3 for X but when I typed it in the answer it was wrong

Answer 28

Did you find y and type that in too?

Answer 29

no, but the way the program works is you can type in one answer at a time and check it. So it still says X is wrong.

Answer 30

an I wanna make sure X is right before I plug it into -3/4x^2+200x

Answer 31

Try x = 400/3 and see if the answer is correct.

Answer 32

sadly that worked...which is dumb because all the other problem required dec

thank you so much

Answer 33

yeah, these online things are sometimes frustrating. If they don't explicitly tell you whether they want decimal or fraction it should accept either answer.

Answer 34

Where would I plug in 400/3 to find Y?

Answer 35

I thought back in the standard vertex formula but get some high wacky fraction

Answer 36

nvm i found it, it would be the y(x) function.

Answer 37

Yes, plug x = 400/3 into y = -2/9(x-4.5)^2+4.5