In this resource, you will be using the values in a table to write the equation, sketch a graph, and/or verbalize a description of the function. The critical attributes (x-intercepts, y-intercept, symmetric points, vertex, minimum, maximum, axis of symmetry) are the same as in the former resource.
Given the table below, identify the critical attributes then sketch a graph showing the critical points of the function. If you need help recalling the critical attributes, mouse over (or touch the screen for mobile devices) the critical attributes column.
Notice the coordinates of the indicated points on the graph, including the vertex (minimum) at (1, -8).
The shape of the parabola is revealed in studying the y-values as the x-values change by 1 unit for each ordered pair listed. Notice the y-values are decreasing until you see the minimum, then the y-values increase - thus revealing the symmetry of the parabola.
