# Graphing Parabolas
Standard form for a Quadratic Equation:
y = ax + bx + c, where a 0
**Terms:**
**Parabola: **U-shaped graph formed by quadratic
functions.
**Quadratic Term:** ax
**Concave Upward: **a parabola that opens upward
(coefficient is positive)
**Concave Downward:** a parabola that opens
downward (coefficient is neg)
**Vertex of a parabola: **the highest point on a
concave down parabola or lowest point on a concave up parabola.
**Axis of symmetry:** the vertical line that
passes through vertex in a parabola.
The effects of coefficients on a quadratic system:
If a > 0 then the graph is concave upward.
If a > 0 then the graph is concave downward.
If |a| > 1 then the graph is narrower then when a = 1.
If |a| < 1 then the graph is wider then when a = 1.
c is the y -coordinate of the y -intercept of the graph.
the x -coordinate of the vertex is
The axis of symmetry is the line graphed by |