SOLUTION: 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

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: 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       Log On

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Question 43548This question is from textbook College Algebra
: 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 line of symmetry?
Answer:



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:

This question is from textbook College Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
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.
y+=+x%5E2+-+4x+-+5
y+%2B+5+=+x%5E2+-+4x
y+%2B+5+%2B+4+=+%28x+-+2%29%5E2
y+=+%28x+-+2%29%5E2+-+9
b)What is the line of symmetry?
Axis of Symmetry: x+=+h so x+=+2
)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.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-+4x+-+5+%29+
You have the value a to determinep, Latus Rectum, and direction of opening. Also, vertex form tells you the vertex (h,k).
d)In your own words, describe how this graph compares to the graph of y = x²?
They both are vertical parabolas, and they open upward.