Graphs of Quadratic Functions

Master quadratic graphs! Find vertex, axis of symmetry, and count solutions.

If a parabola opens up (smiles - "U" up) it has a MINIMUMIf a parabola opens down (frowns - "U" down) it has a MAXIMUM Using the graph of the parabola below fill in the blanks with the correct information.(Click each blank to see the answer options) The vertex is at point (4,4).The parabola's vertex is a maximum.The parabola has x-intercepts at (2, 0) and (6, 0)The equation of the axis of symmetry is x=4. Determine whether each graph has a MAXIMUM or a MINIMUM vertex. Click on the image of the graph and then select the correct answer. Maximum Minimum Given the following information about quadratic functions determine if each equation would produce a graph that opens up or down. Opens Up Opens Down Make a table of values for the function y = 3x2 - 4. Fill in the "y" values. x y -2 8 -1 -1 0 -4 1 -1 2 8 Using the coordinates you just created above, sketch a graph for the quadratic equation y = 3x2-4 How many solutions does this function have? 0 1 2 Make a table of values for the function y = -2x2 - 1. Fill in the "y" values. x y -2 -9 -1 -3 0 -1 1 -3 2 -9 Using the coordinates you just created above, sketch a graph for the quadratic equation y = -2x2-1 How many solutions does this function have? 0 1 2