Answer:
See below (and attached file)
Step-by-step explanation:
The value of [tex]a[/tex] in the equation [tex]y=a(x-h)^2+k[/tex] represents how much a vertical parabola will stretch or compress, as well as whether it opens upward or downward:
If [tex]0<|a|<1[/tex], it is a horizontal stretch
If [tex]|a|>1[/tex], it is a horizontal compression
If [tex]a<0[/tex], the parabola opens downward
If [tex]a>0[/tex], the parabola opens upward
The file attached shows a graph with different examples of what happens to a parabola when the value of [tex]a[/tex] changes.
