Graph Quadratic Functions in Standard Form Notes5.1 (Day 2) Graph Quadratic Functions in Standard Form

Graphing any quadratic (x2) function, The a value: The graph will hold water if a > 0, and will spill water if a < 0. The graph is more narrow than the parent function if a > 1 or a < -1 . The graph is wider than the parent function if -1 < a < 1 .

With a, finds the x coordinate of the vertex The b value: With a, finds the x coordinate of the vertex To find the x – coordinate of the vertex: IMPORTANT!!!

The c value: This value is the y intercept of the graph Just like line, y = mx + b

Vertex: Is either the minimum or maximum value of a parabola The x coordinate of the vertex also determines where the axis of symmetry lies.

Maximum and Minimum Values: The vertex will be the maximum or minimum value. If the parabola holds water, it will be a minimum value. If the parabola spills water, it will be a maximum value.

Axis of Symmetry Divides the parabola into mirror images and passes through the vertex. Is literally the equation x = (it will be a vertical line for all parabolas)

How to graph a quadratic in the form Step 1: Find the x – coordinate of the vertex Step 2: Plug the x coordinate in to find the y coordinate of the vertex Step 3: Graph the y intercept (c value) Step 4: Draw the axis of symmetry Step 5: Plot the point opposite to the y intercept Step 6: Connect the dots and form a parabola

Example: Graph the Quadratic Function. b = c =

Example: Graph the Quadratic Function. b = c =

Example: Graph the Quadratic Function. b = c =

Homework: Graphing Quadratics (Parabolas) Worksheet