Graphing Quadratic Functions Using a Table of Values

Discover the beauty of curved patterns in Graphing Quadratic Functions Using a Table of Values! This engaging activity helps you explore how quadratic equations form parabolas — smooth U-shaped graphs that show how numbers rise, fall, and rise again. You’ll use a table of values to plot points and reveal the full shape of your function.

You’ll begin with a quadratic equation, such as y = x² + 2x – 3 or y = –x² + 4, and substitute several x-values to calculate matching y-values. As you complete the table of values, you’ll notice how the y-values don’t change at a constant rate — instead, they form a pattern that reflects the curve of a parabola. This step-by-step process helps you see how equations come to life through numbers.

Next, you’ll plot the points from your table on a coordinate grid and connect them smoothly to reveal the graph’s shape. You’ll observe whether your parabola opens upward (positive coefficient) or downward (negative coefficient) and locate important features like the vertex, axis of symmetry, and y-intercept.