Vertex Form

Standard form

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

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

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

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

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

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

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

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

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