Analyzing Quadratics

Give the axis of symmetry for the graph of the following equation.

The height y of a punted football is approximated by where x is the horizontal distance (in feet) from where the football is punted. What is the maximum height of the football?

A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data is shown.

Based on a quadratic model, which best approximates the height at 3 seconds?

• 52 feet

• 55 feet

• 65 feet

• 80 feet

The table shows the average braking distance of a car at various speeds.  Use a quadratic model to predict the breaking distance at 70mph.  

• 245 ft

• 225 ft

• 285 ft

• 265 ft

Using the quadratic curve of best fit, find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft

• 13.3 ft

• 11.1 ft

• 17 ft

If a ball thrown into the air is represented by the function

h(t) = -16t²+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height.

• 8 mins

• 2.5 seconds

• 5 seconds

• 604 seconds

A ball is thrown into the air from off the top of a building. The height of the ball, h, after t seconds, is given by the function show below. How many seconds did it take for the ball to reach its maximum height?

• 4 seconds

• 60 seconds

• 124 seconds

• 2 seconds

• 3 seconds

If a ball thrown into the air is represented by the function

h(t) = -16t²+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. After how many seconds will the ball be at a height of 64 feet?

Identify the equation for this graph.

What is the domain of the graph?

• All real numbers

• To infinity and beyond

• y ≥ 0

• x ≥ 0