CHAPTER 4

How can you find the vertex? Standard Form: y = ax2 + bx + c How can you find the vertex? -b/2a Use Calculate Key Min 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: x2 + 4x - 12 x2 - 49

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