Key features of a parabola

x = #

An "x = ..." equation is how to write the line of symmetry and it should match the x-coordinate of the vertex

maximum point

If the parabola is facing downward then the vertex is the highest point, which is refereed to as a maximum point.

minimum point

If the parabola is facing upward then the vertex is the lowest point, which is refereed to as a minimum point.

vertex

The highest or lowest point of the parabola. This point lies on the line of symmetry.

Decreasing Interval

The part of the parabola that goes down from left to right

Increasing interval

The part of the parabola that goes up from left to right

Domain

The x values. For a parabola, this is always All Real Numbers

Range

The y values. For a parabola, this will start or end at the y value of the vertex.

direction (positive smile or negative frown)

open up or open down

line/ axis of symmetry

the "fold line" of the parabola. The invisible line that cuts the parabola in half vertically. The vertex is on this line. Drawn in with a dashed line.

y-intercept

the point where the parabola crosses the y-axis

x - intercept(s)

the point(s) where the parabola crosses the x - axis

(0, y)

this is how to write the coordinate point of a y-intercept

(x, 0)

this is how to write the coordinate point of an x-intercept