# FNGR 2 | Lesson 2 | Making Connections (Standard Form and Vertex Form) # Standard Form and Vertex Form

Exploring both the standard form and the vertex form of the quadratic function you have been able to form some ideas about the following,

• How are they similar?
• How are they different?
• What are the benefits of each?
• Make connections to the activity with Desmos.

You may have noticed that they both have an $$a$$ that determines if the parabola has the orientation of opening up or opening down, which results in a minimum or maximum, respectively.

You may have noticed that the standard form $$y=ax^2+bx+c$$ that the constant $$c$$ is the $$y$$-intercept.  The standard form is not the most effective in graphing quickly.

You may have noticed that the vertex form, $$y=a(x-h)^2+k$$ is very specific in being able to determine if the graph is translated left or right, by the $$h$$ value or up or down, by the $$k$$ value.

Now is an opportunity to practice and apply what you have learned in this lesson. 