SOLUTION: Could you please help me answer 2 question. It would be greatly appreciated since i am having great difficulty and would need the answers asap. John has 300 feet of lumber to fra

Question 24762: Could you please help me answer 2 question. It would be greatly appreciated since i am having great difficulty and would need the answers asap.
John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be?
Answer:
and
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
b) What is the line of symmetry?
c) Graph the function using the equation in part
a. Explain why it is not necessary to plot points to graph when using y = a (x � h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Y=X^2-4X-5={(X-2)^2-4-5}=(X-2)^2-9
COMPARING WITH THE GIVEN EQN .
,WE INFER THAT
A=1,H=2 AND K=-9....THE LINE OF SYMMETRY IS X-2=0 AS YOU WILL GET SAME VALUE OF Y WHETHER X-2=+4 SAY OR -4...NAMELY,Y=7.
COMPARISON WITH Y=X^2 IS SHOWN BELOW

YOU CAN SEE THAT LINE OF SYMMETRY IS X=0 HERE.
ALSO THE MINIMUM VALUE OR VERTEX AT 0,0 IN CASE OF Y=X^2,WHERE AS IT WAS AT (2,-9)
FOR THE GIVEN EQUATION

RELATED QUESTIONS
I have having great difficulty with these worded problems; your help would be greatly... (answered by checkley71)

I am having difficulty knowing what probability formula to use to solve word problems,... (answered by ewatrrr)

Hello, I am trying to solve this equation for my son who is in high school. He is having... (answered by jim_thompson5910,math-vortex)

Hello. I am having a little difficulty with this problem. It says to use the pi key... (answered by htmentor)

I am having difficulty factoring a problem. 49m^2-42m+9 Any help would be appreciated (answered by jim_thompson5910)

HI, I have been given a question on Factorising Quadratic Expressions, and need to put... (answered by Cromlix)

Hi there! I am having trouble finding the exact trigonometric value for cos 135... (answered by Alan3354)

I have to identify and solve quadratic systems. i really don't get this at all. So, if... (answered by longjonsilver)

Does anyone have a good website that can explain functions and graphs in plain English. I (answered by stanbon)