CHAPTER 4

Standard Form:

How can you find the vertex?

y = ax2 + bx + c

1) -b/2a

2) Use Calculate KeyMin or Max

Example: Find the vertex of y = 2x2 - 8x + 3

Vertex Form

y = a(x - h)2 + k

Vertex: (h, k)

Example:What is the vertex of y = 3(x + 2)2 - 5

Factoring

Factor the following problems:

a) x2 + 4x - 12

b) x2 - 49

c) 2x2 - 5x - 3

Solving equations by using square roots

• Find the solutions of

Imaginary Numbers

Standard Form of a complex number is

a + bi

Write the complex number in standard form

(7 + 2i) - (3 - 5i)

Find the quotient and write in standard form

Completing the square

• Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

y = x2 + 14x + c

Write the quadratic function in vertex form by completing the

square

y = x2 + 10x - 5

Write the quadratic function in vertex form by completing the

square y = 3x2 -6x - 20

Quadratic Formula

Discriminant

b2 - 4ac

Use the discriminant to determine the number and type of solutions of an equation:

Positive: __________________

Zero: __________________

Negative: ___________________

Graphing Inequalities

Solid Vs Dashed Graph