# FNGR 2 | Lesson 2 | Explore (Vertex Form|Desmos)

Explore the sliders for $$a$$, $$h$$, and $$k$$ to see how changing these values impacts the graph of the parabola.

Note that $$a = 0$$ to begin with. Would you still consider this a quadratic function if $$a$$ is 0?  Why or why not?

A quadratic function can be written, as shown in the “slider” function in red below.

$$y=a(x-h)^2+k$$

What do you notice about the parabola as $$a$$ changes? What do you wonder?

What do you notice about the parabola as $$h$$ changes? What do you wonder?

What do you notice about the parabola as $$k$$ changes? What do you wonder?