Vertex Form | Desmos

Go to the Desmos activity below to explore how changing the values of $$a$$, $$b$$, and $$c$$ impact the graph a parabola written in Vertex Form $$y=a(x-h)^2+k$$.

• Is this a quadratic function if $$a$$ is 0?  Why or why not?
• What do you notice about the parabola as $$a$$ changes?
• What do you notice about the parabola as $$h$$ changes?
• What do you notice about the parabola as $$k$$ changes?