Problem : Given the following quadratic function f (x) = 3x ² - 12x + 13 , decide whether the graph opens upward or downward, find the vertex and axis of the graph, and find any real roots of the function.

Problem : Given the following quadratic function f (x) = - 3x ² - 6x - 3 , decide whether the graph opens upward or downward, find the vertex and axis of the graph, and find any real roots of the function.

Problem : Given the following quadratic function f (x) = x ² - 8x + 19 , decide whether the graph opens upward or downward, find the vertex and axis of the graph, and find any real roots of the function.

Problem : Given the following quadratic function f (x) = x ² , decide whether the graph opens upward or downward, find the vertex and axis of the graph, and find any real roots of the function.

Problem : Given the following quadratic function f (x) = x ² - 2x , decide whether the graph opens upward or downward, find the vertex and axis of the graph, and find any real roots of the function.