SOLUTION: Hi, I'm having trouble with the problem h(x) = -16x^2 + 64x + 140 where h(x) equals the height. I'm trying to find the height, but I'm not sure how to. When asked to write the quad

Algebra.Com
Question 1012194: Hi, I'm having trouble with the problem h(x) = -16x^2 + 64x + 140 where h(x) equals the height. I'm trying to find the height, but I'm not sure how to. When asked to write the quadratic function in vertex form I came up with f(x) = 16(x+2)^2-56.
Thanks.
Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
You should study how to use Completing the Square to change from general form to standard (or vertex) form. Your book should discuss this; otherwise study here: This lesson INCLUDES how to complete the square and put function into standard form.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
in vertex form






vertex is at:
(, )




Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Hi, I'm having trouble with the problem h(x) = -16x^2 + 64x + 140 where h(x) equals the height. I'm trying to find the height, but I'm not sure how to. When asked to write the quadratic function in vertex form I came up with f(x) = 16(x+2)^2-56.
Thanks.
The height is represented by the y-coordinate of the VERTEX

The height, or y-coordinate of the VERTEX, or h(x) occurs at:  ----->  ------>  ------> x = 2

 

 ------- Substituting 2 for x







The height, or y-coordinate of the VERTEX occurs at h(2), and is:

It is that simple!

If you NEED to write the quad function in VERTEX form, then that's another story, but you don't have to! 

RELATED QUESTIONS


i have a word problem i'm having trouble solving.

Modeling Distance to a rising... (answered by ankor@dixie-net.com)

the height h(x), of an object is given by the function h(x)=-16x^2+97x+76 where x is time  (answered by KMST)

A ball is thrown from a height of 49 meters with an initial downward velocity of 2 m/s.... (answered by richwmiller)

Hi PLEASE HELP ME!! I really do NOT know what i'm doing!! I need HELP! Help would be... (answered by stanbon)

I am trying to solve the problem h(x) = x+17 when h equals h(y+9).  So far I have solved... (answered by Theo)

Hello!

I'm having trouble with the following problem. I keep coming up with the answer  (answered by solver91311)

hi im having trouble on this problem  24=4(h divided by 2-7 could you please help me in... (answered by checkley75)

Hi,

I'm having trouble with my homework and I was hoping you could help.
In the first  (answered by scott8148)

I am having a lot of trouble with this question: "The area of a rectangle is 528 sq mm.... (answered by jim_thompson5910)