Quadratic Equations Vertex

When given 3 or more ordered pairs on a parabola, which of the following is a method you can use to find the equation in standard form?

• Make a table of values. Find the rate of change (slope) and y-intercept.

• On the calculator, use STAT-EDIT to enter the values into L₁ and L₂. Then go to STAT>CALC and choose "QuadReg" (option 5).

• 3 ordered pairs will not give you enough information to find the equation for the parabola.

• (-3, 1); opens up

• (-3, 1); opens down

• (3, 1); opens up

• (3, 1): opens down

• (-5, -2); opens up

• (-5, -2); opens down

• (5, -2); opens up

• (5, -2): opens down

• (4, 1); opens up

• (4, 1); opens down

• (-1, 4); opens up

• (-1, 4): opens down

• (-1, 6); opens up

• (-1, -6); opens down

• (-1, -6); opens up

• (1, -6): opens down

• (-7, 2); opens up

• (-7, -2); opens down

• (7, 2); opens up

• (7, -2): opens down

• (-3, -5); opens up

• (-8, -5); opens down

• (-8, -5); opens up

• (3, -5): opens down