# unit 8 packet Quadratic Functions

This Unit 8 Packet contains 6 lessons and some additional practice:

8-1 Exploring Quadratic Graphs

8-2 Quadratic Functions (Part # 1)

8-2 Quadratic Functions (Part # 2)

Practice: 8-2 Quadratic Functions Worksheet

8-3 Finding x - Intercepts of Quadratic Functions (Part # 1)

Practice: 8-3 Finding x - Intercepts Worksheet #1

8-4 Vertex Form and Transformations (Part 1)

8-4 Vertex Form Worksheet # 1

8-4 Vertex Form and Transformations (Part 2)

8-4 Vertex Form Worksheet # 2

#### Quadratics notes to understand wth is going on

#### quadratics notes

Quadratic equation standard form: ax^2 + bx + c = 0 This is the standard form for any q...

#### The quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a The formula gives you two possible results for the values of "x" th...

#### how to find x and y intercepts

Find the x-intercept by plugging in 0 for y. Find the y-intercept by plugging in 0 for x

#### when i know the y value of the vertex, how do i find the x value?

If you know the y-coordinate of the vertex of a quadratic function, you can use the vertex form o...

#### 8-2 Quadratic Functions (Part # 1)

#### Example 1

A) The vertex is (4,3) B) The vertex is (-3,-3)

#### Example 2 - Vertex Formula

a) y = 2x^2+4x we get the a, b, c in the formula y = ax^2 + bx + c a = 2 b ...

#### Example 3 + up/down test

up/down test opens upwards because a is Positive opens downward because a is Negative E...

#### Example 4 Graph f(x) = x^2 -2x - 8

Steps to Graph ax^2 + bx + c Find the vertex and the axis of symmetry. Sketch these in. Find ...

#### Example 5: Graph y = x^2 + 2x + 3

Find the vertex and the axis of symmetry. Sketch these in.• Find the x-intercept by plugging in 0...

#### Example 6: Graph y = 2x^2 - 8x

• Find the vertex and the axis of symmetry. Sketch these in.• Find the x-intercept by plugging in...

#### Example 7: h = 16t^2 + 72t + 520

Suppose a particular “star” is projected from a firework at a starting height of 520 feet with an...