math

Homework 4

1. Write a formula for a function with a graph that has exactly two x- intercepts, one at x = 4 and the other at x = 2. Draw a graph by hand of your equation and check its intercepts by substituting 2 and then 4 for x.

2. Write an equation for a function with a graph that has exactly two x- intercepts, one at x = –6 and the other at x = 3. Draw a graph by hand of your equation and check the intercepts.

3. Write a formula for a function whose graph has exactly three x-intercepts, one at x = –3, another at x = 1, and the third at x = 3. Draw a graph by hand of your equation and check the intercepts.

4. Do you think it’s possible to create a function with any given set of x- intercepts? Explain your answer.

5. Draw a graph of a different parabola that has the same x-intercepts as the graph for problem 1. What is the equation of that function?

6. Solve the equation Q = 4a + 6ac for a.