1. Investigating Graphs of Quadratic Functions

2. Algebra I HonorsGraphing Quadratic Functions Pankowski Objectives You will be able to describe how the values of the coefficients of a quadratic function affect the graph. You will be able recognize the graph of a quadratic function by it’s equation.

3. Algebra I HonorsGraphing Quadratic Functions Pankowski Review How to graph a quadratic function by hand: 1. Find the x-coordinate of the vertex: - b/(2a). 2. Make a table of values, using x-values to the left and right of the vertex. 3. Plot the points and connect them with a smooth curve to form a parabola.

4. Algebra I HonorsGraphing Quadratic Functions Pankowski Example: a = 1 b = -2 c = -3 x-coordinate of vertex y-coordinate of vertex Vertex

5. Algebra I HonorsGraphing Quadratic Functions Pankowski Pick values to left and right of Vertex (equidistant from vertex) -Two units to the right and left of x=1 are x=3 and x=-1. -The vertex is located at (1,-4). -One unit to the right and left of x=1 are x=0 and x=2. -Make a table by substituting these x-values into your function to find their corresponding y- values.

6. Algebra I HonorsGraphing Quadratic Functions Pankowski

7. Table of Values PointXY Vertex1-4 B2-3 C0 D0 E30

8. Algebra I HonorsGraphing Quadratic Functions Pankowski Plot the Points and Connect a Smooth Curve

9. Algebra I HonorsGraphing Quadratic Functions Pankowski Investigation Open your laptop Open the file on your desktop labeled “Multimedia1a_Dynamic_Worksheet_EHP.h tml” Answer the questions on the worksheet by investigating using the sliders