Assignment 4

1. What are the x and y intercepts for the following? Sketch the lines.

a. y = 3*x + 2

b. The line through (-1,3) and (1,1).

2. Where do the given lines intersect? Solve and sketch.

a. y = 2*x – 3 and y = -1/4*x + 1

b. y = 2*x and y = x + 6

c. y = -x + 4 and y = 3*x – 1

d. y = -1/2*x + 4 and 2*y + x = 1

3. Complete the square. Find the vertex and the roots, and sketch.

a. y = x² + 4*x + 3

b. y = x² - x + 2

c. y = 2*x² + 8*x + 5

4. Solve the following by factoring.

a. x² + 8*x + 12 = 0

b. x² + x – 2 = 0

c. 2 x² + 5*x + 2 = 0

5. Use the quadratic formula to find the roots of the following equations. For what values of the constant does the equation have real roots?

a. x² + a*x + 4 = 0

b. x² + b*x - 2 = 0

c. x² + 5*x + c = 0