SOLUTION: Can you PLEASE show me how to graph a quadratic function using its properties? f(x)=x^2-4x-5

Question 171206: Can you PLEASE show me how to graph a quadratic function using its properties?
f(x)=x^2-4x-5
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
--->
Okay, first we go for the Vertex-form of quadratic:
where, h & k are points on the vertex.
We'll do this by completing the square: We take of "b" in the quadratic eq'n. and squared it. In this case it, "b"=4, so half of it --> , then squared, .
So we need to add "4" to the eqn:
.
----> remember to subtract 4 too so the expression does not change.
----> follows our vertex form now, where & . We'll see in the graph:
----> see points (2,-9). This will be the vertex.
Now we'll see the x-intercepts by solving the eqn:

By Quadratic Formula, where ---->

X-intercepts---->
See the graph again:

.
Thank you,
Jojo

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