This graph allows you to manipulate the vertex form of the quadratic equation, [i]f[/i]([i]x[/i]) = [i]a[/i](x - [i]h[/i])² + [i]k[/i]. Use the sliders to adjust [i]a[/i], [i]h[/i], and [i]k[/i]. [br]The green dot is the vertex of the parabola. [br]The orange diamond is the [i]y[/i]-intercept.[br]The red [i]x[/i]'s are the [i]x[/i]-intercepts. [br]The pink dashed line is the axis of symmetry.[br][br]1. Which numbers - [i]a[/i], [i]h[/i], and / or [i]k[/i] - influence the line of symmetry? The vertex?[br]2. Which numbers - [i]a[/i], [i]h[/i], and/or [i]k[/i] - influence whether the graph opens up or down. Complete the following sentence: If ___ is positive, the graph opens ______. If ___ is negative, the graph opens ______. [br]3. Which numbers - a, h, and/or k - influence whether the vertex is above or below the [i]x[/i]-axis? Complete the following statement: If ___ is positive, the vertex is ___ the [i]x[/i]-axis. If ___ is negative, the vertex is ___ the [i]x[/i]-axis. [br]4. Which numbers - [i]a[/i], [i]h[/i], and/or [i]k[/i] - influence whether the vertex is to the right or left of the [i]y[/i]-axis? Complete the following statement: If ___ is positive, the vertex is to the ___ of the y-axis. If ___ is negative, the vertex is to the ___ of the [i]y[/i]-axis.[br]5. What other patterns do you see?