**Example**: Given the quadratic equation:

a. Solve by completing the square.

b. Solve using the quadratic formula.

**Example**: Given the quadratic equation:

a. Solve by factoring.

b. Solve using the quadratic formula.

**Example**: Graph. Label the

*x*- and

*y*-intercepts as well as the vertex.

**Projectile Problem**: An object is launched from an 80-foot tower with an initial speed of 75 feet per second. At what times is the object 120 feet high? Use the following function:

**Geometry Problem**: The height of a triangle is 2 centimeters more than 3 times the base. If the area is 28 square centimeters then what is the length of the base and height?

**Example:**Simplify

a.

b.