You launch a firework with the axis of symmetry of 4.688 in the coordinates of vertex of 4.688, 118.687. Create a graph that represents this firework
Unfortunately, as an AI text-based model, I'm unable to create or display visual content like graphs. However, I can explain how you can visualize the graph representing the firework.
To create a graph representing the firework, you would typically use a Cartesian coordinate system, where the x-axis represents the horizontal direction, and the y-axis represents the vertical direction.
Start by drawing the x and y axes.
Since the axis of symmetry is given as x = 4.688, draw a vertical dashed line at x = 4.688. This line will act as the line of symmetrization for the graph.
Next, plot the vertex of the firework at the coordinates (4.688, 118.687). This point represents the highest point the firework reaches.
Using the axis of symmetry, plot a few more points on both sides of the vertex. These points will help determine the shape of the firework.
For example, you might choose to plot two more points on the left side of the vertex (for x-values less than 4.688) and two more points on the right side of the vertex (for x-values greater than 4.688).
To determine the coordinates of these additional points, you can use the symmetry of the parabolic shape. If a point is a distance "a" away from the axis of symmetry, then there should be another point the same distance "a" away on the opposite side.
Once you have these points, connect them smoothly to form the graph of the firework. The resulting graph should represent a symmetrical, upward-opening parabola with its vertex at (4.688, 118.687).
Keep in mind that the y-values of the graph represent the height of the firework, while the x-values represent the time or distance traveled horizontally.