1-7 Intro to Graphing Quadratics in Standard Form

Intro to Graphing Quadratics in Standard Form

y=ax²+bx+c

Which one doesn't belong? Be prepared to explain why.

Notebook: Learning & Habit Objectives

• Learning: I will graph quadratics from standard from

• Habit: I will follow every step of this procedure

Success Criteria

• I know the parts of the graph of a quadratic

• I can find and graph the x and y intercepts

• I can find and graph the axis of symmetry

• I can find and graph the vertex

• I can sketch the graph of a quadratic using these key points

Open Ended

This is the graph of the equation y=x². What do you notice? Write three observations.

In Your Notebook

The graph of a quadratic equation is called a parabola. It is a curve that changes directions once and has beautiful line symmetry.

Notebook: Graphing from Standard Form

• Substitute 0 for x and solve for y. This is the y intercept

• Evaluate 

   $\frac{-b}{2a}$  

• Graph the line of symmetry x=-b/2a 

• Substitute your value for -b/2a for the x's in the equation and evaluate. This will give the y coordinate for the vertex. Graph the vertex.

• Factor the quadratic, set to 0, and solve. Your solutions are the x intercepts aka the "zeros." Graph them.

• Now connect your key points to sketch your parabola

Notebook: We Will Graph this Example Together

y=x²+x-6

Open Ended

Sketch your graph on paper and describe what it looks like.