Exam 8: Quadratics and the Mathematics of Motion

Solve using the quadratic formula:

Select the equation whose graph is the graph of shifted 5 units to the right.

Construct an upward opening quadratic function with one zero at x = 1 and a vertical intercept at 5.

Select the equation whose graph is the graph of vertically compressed by a factor of and reflected across the x-axis.

Calculate the average rate of change of the average rate of change of the quadratic function .

Write the function in factored form, with .

Using the quadratic function , fill in the values in the table.

A projectile is at a height meters at time t = 0 seconds. Find the average velocity of the projectile over the interval t = 1 to t = 2.

Complete the table for a falling object. Assume that g = 32 ft/sec².

Find any solutions to the equation . Give exact answers. Write your answer as r₁, r₂, with r₁2. For complex answers enter .

After 4 seconds, a falling object has traveled a distance of 292 ft. Find the distance traveled by the object after t = 3 seconds. Assume that g = 32 ft/sec².

Calculate the coordinate of the y-intercept of

Find any solutions to the equation Write your answer as r₁, r₂, with r₁2. For complex answers enter .

Select the equation whose graph is the graph of vertically compressed by a factor of 0.5.

For the quadratic function pictured determine: A) the coordinates of its vertex, B) the equation of the axis of symmetry, C) the x-coordinates of its horizontal intercepts (enter the values in numerical order separated by a comma), and D) whether the parabola is concave up or concave down (enter up or down).

For the function , A) find the coordinates of the vertex and B) state whether it represents a minimum or a maximum of the function (enter minimum or maximum)

Find the coordinates of the vertex of

Select the choice which best describes the graph of .

Find the horizontal intercepts of the function . Give exact answers. Write your answer as r₁, r₂, with r₁2.

At t = 0, a ball is thrown upward at a velocity of 98 m/sec from the top of a building 800 m high. The ball's height is measured in meters above the ground. Assuming the height at t = 0 is 0 m, what is the height at t = 7?