Exam 3: Quadratic Functions

Suppose a farmer has 135 feet of fence and he wants to enclose a pasture with a rectangular boundary. There is already fencing along one side of the field that he wants to enclose, so he will only need to fence 3 sides of the new field. What is the maximum area that he can fence?

Find a formula for the quadratic function which corresponds to the values in the following table and use it to find g(4).

Solve by the quadratic formula. Round your answers to 2 decimal places. List the answers in the form "A, B", with A < B.

Suppose What is ?

Find the zeros of by using the quadratic formula. List the answers in the form "A, B", with A < B. Write your answers correct to 3 decimal places

Which of the following parabolas have a vertex of ?

Let a) Graph the function. b) Give the vertex. c) Give the axis of symmetry. d) Give the y-intercept.

Convert the quadratic function to vertex form. Identify the vertex and the axis of symmetry.

A projectile's height above ground is a quadratic function of time t in seconds since launched. Three values of the function are given in the table below. How many seconds does it take for the projectile to hit the ground?

For , does ?

Suppose a farmer has 100 feet of fence and he wants to enclose a pasture with a rectangular boundary. There is already fencing along one side of the field that he wants to enclose, so he will only need to fence 3 sides of the new field. What are the dimension of the field that will give maximum area.

Let be a quadratic function which has y-intercept 0 and has zeros at x = 0 and x = 6. Then .

Find the zeros of . List the answers in the form "A, B", with A < B.

Which of the following functions are quadratic?

Find a formula for the quadratic function whose graph has axis of symmetry , - intercept at , and contains the point .

What is the equation of the parabola that is concave down, has vertex and contains the origin.

The formula for the following parabola is , where a = _____ , h = _____, and k = _____. Note: Figure is not necessarily drawn to scale.

Find a formula for the parabola

The vertex form of is , where a = _____ and b = _____.

The height of a baseball in feet seconds after it has been hit is given by . What is the maximum height of the baseball? Give your answer correct to 3 decimal places.