Standard+to+Vertex

Standard to Vertex
 * Vertex from Standard Form Equation**

The Standard form of an equation is y=ax^2+bx+c The Vertex form of an equation is y=a(x+h)^2+k Ex. 1 y=-3x^2-2x+1 h=-b/2a h=-(-2)/2(-3) h=2/-6= -1/3 y=-3(-1/3)^2-2(-1/3)+1 y=-3(1/9)+2/3+1 y=-1/3+2/3+1 y= 1 1/3 Vertex form : y= -3(x+1/3)^2+1 1/3 h=-b/2a is the most important equation in this process of finding vertex form from standard form.

Connections:

Vertex to Standard- Is the reverse of vertex to standard form. Its best to be able to know how to get back and forth between the two.

Write the Equation- You have to get the vertex point(h,and k) to be able to graph the parabola using y=a(x+h)^2+k.

Graph the Parabola- Vertex and standard form tells how the parabola is to be graphed. It shows what coordinates you need to use, and shows how wide it opens.