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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.
Show work in this space
x^2-4x +? = y+5+?
x^2-4x+4 = y+5+4
(x-2)^2 = y+9
b) What is the equation for the line of symmetry for the graph of this function?
Axis of symmetry 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.
Explanation of graphing.
Vertex is at (h,k), If a>0 the parabola opens up; if a<0 it opens down.
d) In your own words, describe how this graph compares to the graph of y = x2?
Start with graph of y=x^2
(x-2) moves all the points 2 to the right.
When x=2, y=-9; -9 moves all the points 9 down.