February 4th

February 4th

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