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