Vertex of a Parabola

Vertex

Vertex

To find the coordinates of the vertex is to substitute the axis of symmetry $y=-\dfrac{b}{2a}$ into the expression of the parabola $y=ax^2+bx+c$.

Example 1

Find of the vertex of $y=x^2 - 4x - 3$.

Example 2

Find the vertex of $y=2x^2 - 12x + 1$.

Example 3

The vertex of $y=x^2+6x+c$ is $(-3,-4)$. Find $c$.