# Vertex Form of a Quadratic Equation

Quadratic Function Given Vertex and Point

Tip: This isn't the place to ask a question because the teacher can't reply.

1 of 2 videos by turksvids

## Key Questions

• Vertex Form

$y = a {\left(x - h\right)}^{2} + k$,

where $\left(h , k\right)$ is the vertex.

I hope that this was helpful.

• Graphing a quadratic equation in vertex form.

1. Identify the vertex
2. Find the y-intercept
3. Graph the line of symmetry and the vertex
4. Graph the y-intercept and its reflection
5. Make a table (with the vertex in the middle) to calculate at least 5 points on the parable.

NOTE: I got this photo from here.

• Since the equation is:

$y = {x}^{2} + b x + c$

the vertex is $V \left(- \frac{b}{2 a} , - \frac{\Delta}{4 a}\right)$,

or, found the ${x}_{v} = - \frac{b}{2 a}$ you can substitue it in the equation of the parabola at the place of $x$, finding the ${y}_{v}$.

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