Exam 6: Factoring and Quadratic Equations

Find the axis of symmetry for the given equation.

Use the graph below to find an approximation of .

A polynomial that is a difference of squares has three terms.

Determine the end behavior of the function .

The height h of a ball in feet t seconds after it was thrown can be estimated by the equation . Graph this equation. Clearly label and scale the axes.

Factor the polynomial expression by grouping.

Every quadratic equation has two x-intercepts.

Every polynomial can be factored over the set of integers.

Factor the polynomial expression. If the polynomial cannot be factored write the answer as prime.

The stopping distance of a car after the brakes have been applied is directly proportional to the square of the speed . The stopping distance of a car on dry asphalt is given by the function where is measured in mi/h. Which one of the following is the inverse function of ?

Factor the polynomial. If the polynomial cannot be factored over the integers then write that it is prime.

Graph the equation using symmetry. Label the vertex and the x- and y-intercepts.

Which one of the following graphs represents the function ?

Use the graph to estimate the vertex and determine whether it is a maximum or minimum point.

Solve the equation.

Find the x- and y-intercepts of the equation.

Solve the equation.

Which one of the following is a graph of the function ?

Find the y -intercept of .

To factor either a number or a polynomial means to rewrite it as a sum.