Question

graphing a parabola of the form y=ax squared 2

Answer 1

The graph of the parabola given by the equation:

$y=\frac{1}{4}x^2$

has a vertex when y=0 which happens iff

$\begin{gathered} \frac{1}{4}x^2=0 \\ x^2=0 \\ x=0 \end{gathered}$

Therefore the graph is:

The vertex has coordinates (0,0). Now, two points to the left of the vertex that are on the parabola have coordinates (-2,1) and (-4,4). Two points that are to the right of the parabola have coordinates