Presentation on theme: "9.3 Graphing Quadratic Functions. Quadratic Functions Quadratic functions are functions written in the form Every quadratic function has a U-shaped graph."— Presentation transcript:
Axis of Symmetry Vertex y = ax 2 +bx + c When a>0, the parabola opens up. The vertex is the minimum point. Positive a = smiley face If the leading coefficient is positive, the parabola opens up, like a U.
Axis of Symmetry Vertex y = ax 2 +bx + c When a<0, the parabola opens down. The vertex is the maximum point. Negative a = Sad Face If the leading coefficient is negative, the parabola opens down, like an upside-down U.
Parabolas The lowest/highest point on a parabola is called the vertex. The axis of symmetry is the line that runs through the vertex and divides the parabola in two symmetric parts. The x-coordinate of the vertex, and the equation of the axis of symmetry will be the line x = -b 2a
GRAPHING QUADRATIC EQUATIONS Make a table Plot points and connect dots to make a smooth curve. XY
Quadratic Functions will be in the form y = ax 2 + bx + c or f(x) = ax 2 + bx + c The graph of a Quadratic Function will be a parabola.
y = x 2 Use the table with the given values for x to find f(x). Then graph the function XY -2 0 1 2