Exam 8: Quadratics and the Mathematics of Motion

Complete the table for the function

Find values for A and B using what you know about completing the square.

Find the coordinates of the vertex of the parabola given by . Round values to 2 decimal places, if necessary.

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

Put the quadratic into standard form:

Specify whether the vertex of this parabola is a maximum or a minimum.

Find the quadratic function with x-intercepts -5 and 7 such that . Write your answer in standard form .

Find a formula for a parabola with vertex that passes through the point .Write your answer in standard form .

Write the function in factored form, with

Find for the function

Find the equation, in standard form, of the parabola with horizontal intercepts at -5 and 1.

After 3 seconds, a falling object has a velocity of 3,138 cm/sec. Find the initial velocity of the object. Assume that g = 980 cm/sec².

In the height equation , identify the initial velocity in cm/sec.

Given the point (2, 20) on a parabola of the form , find the equation of the parabola.

Match the graph of the function to the graph of its average rate of change:

After 3 seconds, a falling object has traveled a distance of 65.1 m. Find the equation to describe the distance traveled by the object in t seconds. Assume that g = 9.8 m/sec².

An object that is moving horizontally along the ground is observed to have an initial velocity of 10,370 cm/sec and to be accelerating at a constant rate of -661 cm/sec². Determine the velocity after 2 seconds.

Select the choice which best describes the graph of .

After 4 seconds, a falling object has a velocity of 45.2 m/sec. Find the equation to describe the distance traveled by the object in t seconds. Assume that g = 9.8 m/sec².

Write the equation, in form, for the graph