1. Vertex Form

2. Standard form

3. Vertex: highest or lowest
point on the graph.
2 ways to find Vertex:
1) Calculator:
2nd  CALC
MIN or MAX
2) Algebraically

4. Find the Vertex
x2 + 8x + 1
x2 + 2x – 5
-2x2 – 10x + 3

5. Completing the Square finds the vertex!
First, lets find the vertex in your calculator.
Now lets complete the square for each.
What do you notice?
x2 + 6x + 8 = 0
X2 – 2x + 10 = 0

6. Vertex Form
Lucky for us, we can use a calculator to find the vertex instead of completing the square!

7. Converting from Standard to Vertex
Standard: y = ax2 + bx + c Things you will need: a = and Vertex: Vertex: y = a(x – h)2 + k

8. Example
Convert from standard form to vertex form.
y = -3x2 + 12x + 5

9. Example
Convert from standard form to vertex form.
y = x2 + 2x + 5

10. Now Convert and Solve x2 + 6x – 5 = 0
Convert each quadratic from standard to vertex form. Then Solve for x.
x2 + 6x – 5 = 0

11. Now Convert and Solve 3x2 – 12x + 7 = 0 -2x2 + 4x – 3 = 0
Convert each quadratic from standard to vertex form and then solve for x.
3x2 – 12x + 7 = 0
-2x2 + 4x – 3 = 0