We worked on describing parabolas using some technical math terms today.

**Direction of opening**

- “up” is a cup shape
- “down” is a frown shape

**Vertex** – the point at which the parabola changes direction

- from decreasing to increasing, or
- from increasing to decreasing

**Optimal value** – the y-value of the function at the vertex

- the y-coordinate of the vertex
- either a minimum or a maximum

**Maximum value** – the optimal value for parabolas that open down

**Minimum value** – the optimal value for parabolas that open up

**Axis of symmetry** – the vertical line through the vertex

- the equation is always written x =
*(a number)* *(a number)*is always the x-coordinate of the vertex

**Roots/zeros/x-intercepts** – the x-values where the parabola crosses or touches the x-axis

- the place(s) where the y-value is zero
- can be no real roots, two distinct roots, or one root (really two equal roots)

Advertisements