1. Write the equation of a parabola with the vertex (1, - 4) that goes through the point (3,0). Be sure to show all work.

2. Given the standard form it is simple to identify the vertex (p, q). True False

3. Start the process of completing the square by converting the quadratic function into vertex form.

True

False

4. Given the equation f(x)=3x26x+2, the vertex is a maximum located at (1, -1)

True

False

5. Complete the square and list the key features. Be sure to show and explain all work. -direction of opening -vertex -y-intercept -Max or Min vertex? f(x)=2x2+4x+1

6. The path of a tennis ball is given by the function f(t)=t2+8t.f(t) represents the height in feet and represents the time in seconds. At what time, in seconds, will the ball reach its maximum height?

16 seconds

4 seconds

Cannot be determined

8 seconds

7. Sadan throws a football that follows a parabolic path. The vertex represents the maximum time that the ball is in the air. False True

8. The sum of 2 numbers is 40 and their product is a maximum. Find the two numbers. Show and explain your work.

9. Identify the vertex and state whether it is a maximum or minimum. Be sure to show all work. f(x)=5x2+10x+25