Graphs of Quadratic Functions

If a parabola opens up (smiles) it has a MINIMUMIf a parabola opens down (frowns) 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 (-1,-4).The parabola's vertex is a (maximum or minimum) minimum.The parabola has y-intercept at (0,-3)The parabola has x-intercepts at (-3, 0) and (1, 0)The equation of the axis of symmetry is x=-1. 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 or minimum) 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 Sketch a graph the quadratic equation y = 3x2-4 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 Sketch a graph the quadratic equation y = -2x2-1 First Differences Complete the table of values for each value given. Then determine the first differences and whether the relation is linear or non linear. constant linear -2 -2 -2 -2 7 5 3 1 -1