Quadratic Equations Applications Geometry

What is one real-world application of square roots?

• Calculating distances

• Modeling exponential decay

• Solving quadratic equations

• All of the above

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

• -1 and 3
• 1 and -3
• -1 and -3
• 1 and 3

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

• 0.42 seconds, 0.21609 meters
• 0.42 seconds, 0.21 meters
• 0.21 seconds, 0.42 meters
• 0.21 seconds, -2.058 meters

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1