The document contains information about graphing a quadratic equation. It provides the vertex of (-5,-2) and uses the equation -3=a(2-5)^2-2 to solve for the coefficient a as -1/9. This creates the equation Y=-1/9(x-5)^2-2. A graphing calculator confirms the equation as y=-.473x^2+4.81x-14.33 which is approximately equal to the calculated equation of -.11(x-5)^2-2. Both equations are negative and open downward as expected from the given vertex.

1. cw

2. graph
Vertex (5,-2)
(2,-3)

3. equation
• -3=a(2-5)^2-2
• -3=9a-2
• a=-1/9
• Y=-1/9(x-5)^2-2
• Y=a(x-h)^2+k

4. comparison
•Graphing calculator
y=-.473x^2+4.81x-14.33
•Calculator -.11(x-5)^2-2

5. comparison
• Our graph opens down and the equations are
both negative, and our equations were a little
more than.

6. Actual equation
•y=-.473x^2+4.81x-14.33

7. Actual equation
•y=-.473x^2+4.81x-14.33