Using the graphing program Desmos:
Plot the graph for equation y=x2 for -10≤x≤10. 
On the same set of axes, plot another graph to demonstrate all the transformations listed below and paste the picture of the generated graph.
Reflects the given graph in the x axis 
Translates the graph 3 units positively on the x axis
Translates the graph 5 units negatively on the y axis

To complete the task using Desmos, follow these steps:

1. Open the Desmos graphing calculator.
2. Enter the original equation: `y = x^2`.
3. For the reflection in the x-axis, enter: `y = -x^2`.
4. For translating the graph 3 units positively on the x-axis, enter: `y = (x-3)^2`.
5. For translating the graph 5 units negatively on the y-axis, enter: `y = (x-3)^2 - 5`.

You should now have the graphs for:
- The original parabola: \( y = x^2 \)
- The reflection in the x-axis: \( y = -x^2 \)
- The translation 3 units positively on the x-axis: \( y = (x-3)^2 \)
- The final translation 5 units negatively on the y-axis: \( y = (x-3)^2 - 5 \)

Let me know if you'd like me to demonstrate how these transformations were applied or generate the graph for you!

Using the graphing program Desmos: Plot the graph for equation y=x^2 for -10≤x≤10. On the same set of axes, plot another graph to demonstrate all the transformations listed below and paste the picture of the generated graph. Reflects the given graph in the x axis. Translates the graph 3 units positively on the x axis. Translates the graph 5 units negatively on the y axis.

Learn how to plot the quadratic equation y = x^2 and apply transformations such as reflecting the graph in the x-axis and translating it horizontally and vertically. This guide is ideal for high school students (Grades 9-11) and includes step-by-step instructions for using Desmos.

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