MYP Standard Mathematics Quadratic Functions Key Definitions

The vertical line that divides the parabola into two mirror-image halves. Its equation is $x=x_v$.

A function whose graph is a parabola and can be written in the form $y=ax^2+bx+c$ where $a\neq 0$.

A zero where the factor repeats, for example $(x-h)^2$. The graph touches the x-axis at $x=h$ but does not cross it.

The turning point of the parabola, with coordinates $(x_v, y_v)$.

A form of a quadratic function $y=a(x-h)^2+k$ where $(h,k)$ is the vertex.

The $x$-coordinates where the graph crosses the $x$-axis (where $y=0$). They are also called the zeros (or roots) of the function.

The point where the graph crosses the $y$-axis (where $x=0$).