Modeling Quadratic Equations

Write the equation in standard form of the parabola passing through the points in the given table.

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

• A

• B

• C

• D

• E

• A

• B

• C

• D

Q33

• n(t) = -0.002t² + 0.55t + 5.02

• n(t) = 0.072t² - 0.15t + 2.73

• n(t) = -0.002t² + 5.02

• n(t) = 0.072t² + 2.73

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river.  How high does the water go?

• It goes 11.78 feet high

• It goes 20 feet high

• It goes 40 feet high

• It goes 10 feet high

• A

• B

• C

• D

A baseball coach records the height at every second of a ball thrown in the air. Some of the data appears in the table. Which equation is a quadratic model for the data?