Key Questions

• In order to find the y-intercept $b$ of any function $f \left(x\right)$ is $f \left(0\right)$.

So, the y-intercept of $f \left(x\right) = a {x}^{2} + b x + c$ is

$f \left(0\right) = a {\left(0\right)}^{2} + b \left(0\right) + c = c$.

The constant term c of a quadratic function is always its y-intercept.

I hope that this was helpful.

• I would start with its vertex, then move either to the right or to the left, then use a symmetry to draw the other half.

I hope that this was helpful.

• This key question hasn't been answered yet.

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