**We begin with the reminder that our original
equation is**

**and that the graphing form of this equation
is**

**To create a concave down equation, we need
to change a = 2 to a = -2 remembering that the general graphing
form of a quadratic is**

**Our new equation is**

**Let's compare the graphs the original equation
and our new equation**

**What would the new equation
look like in standard form?**

**In this form, we cannot immediately see
that our new equation shares its vertex with the original equation,
however we have shown that it does.**

**Classroom Tip: Students are more likely
to guess and check than to systematically work through the above
steps. It is important to stress the equations and how they relate
to the graphs.**