Question 43548
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^2 - 4x - 5}}}
{{{y + 5 = x^2 - 4x}}}
{{{y + 5 + 4 = (x - 2)^2}}}
{{{y = (x - 2)^2 - 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( 600, 600, -10, 10, -10, 10, x^2 - 4x - 5 ) }}}
You have the value {{{a}}} to determine{{{p}}}, 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.