The document provides examples of functions defined in factored, vertex, and standard form to draw graphs of the functions. Example 1 defines a function as y = 2(x + 3)(x - 1) in factored form, y = 2(x - 1/2)2 - 8 in vertex form, and y = 2x2 - 4x - 6 in standard form. Example 2 defines a different function as y = -(x - 5)(x - 1) in factored form, y = -(x - 3)2 + 4 in vertex form, and y = -x2 + 6x - 5 in standard form. The examples aim to show how a function can be drawn by using its definition in

1. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

2. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

3. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

4. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

5. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

6. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

7. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

8. Example 1
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = 2(𝑥 + 3)(𝑥 − 1)
• Vertex Form: 𝑦 = 2 𝑥 + 1 2 − 8
• Standard Form: 𝑦 = 2𝑥2 − 4𝑥 − 6

9. Example 2
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = −(𝑥 − 5)(𝑥 − 1)
• Vertex Form: 𝑦 = − 𝑥 − 3 2 + 4
• Standard Form: 𝑦 = −𝑥2 + 6𝑥 − 5

10. Example 2
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = −(𝑥 − 5)(𝑥 − 1)
• Vertex Form: 𝑦 = − 𝑥 − 3 2 + 4
• Standard Form: 𝑦 = −𝑥2 + 6𝑥 − 5

11. Example 2
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = −(𝑥 − 5)(𝑥 − 1)
• Vertex Form: 𝑦 = − 𝑥 − 3 2 + 4
• Standard Form: 𝑦 = −𝑥2 + 6𝑥 − 5

12. Example 2
Use the equations in three forms to draw a graph of the function
• Factored Form: 𝑦 = −(𝑥 − 5)(𝑥 − 1)
• Vertex Form: 𝑦 = − 𝑥 − 3 2 + 4
• Standard Form: 𝑦 = −𝑥2 + 6𝑥 − 5