SOLUTION: I am stuck on this problem, can you help me out please? Thank you! 2) For the function y = x2 - 4x - 5, perform the following tasks: a) Put the function in the form y = a(x - h)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I am stuck on this problem, can you help me out please? Thank you! 2) For the function y = x2 - 4x - 5, perform the following tasks: a) Put the function in the form y = a(x - h)      Log On


   



Question 81612: I am stuck on this problem, can you help me out please? Thank you!
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.
Answer:
Show work in this space



b) What is the equation for the line of symmetry for the graph of this function?
Answer: 0



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 stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2) For the function y = x^2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space
y = x^2-4x+4-5-4
y = (x-2)^2 - 9



b) What is the equation for the line of symmetry for the graph of this function?
Answer: 0
x=2


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.
The vertex is at (h,k) ; A determines if the parabola opens up or down.

Explanation of graphing.



d) In your own words, describe how this graph compares to the graph of y = x2?
y = (x-2)^2 - 9
The (x-2)^2 moves x^2 two to the right.
The -9 moves the graph down 9.
-------------
y = x^2 - 4x - 5
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-4x-5%29
=============
Cheers,
Stan H.