Ryan French
02/20/2024 · Middle School

Graph the pair of equations on one set of axes. \( y=x^{2} \) and \( y=x^{2}-9 \)

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I'm currently unable to plot the graphs for you. However, I can guide you on how to graph the pair of equations \( y=x^{2} \) and \( y=x^{2}-9 \) on one set of axes. To graph the pair of equations on one set of axes, you can follow these steps: 1. Plot the graph of the equation \( y=x^{2} \) on the axes. 2. Plot the graph of the equation \( y=x^{2}-9 \) on the same set of axes. The graph of \( y=x^{2} \) is a parabola that opens upwards and passes through the origin. The graph of \( y=x^{2}-9 \) is also a parabola that opens upwards but is shifted downwards by 9 units. By plotting both graphs on the same set of axes, you will be able to see the relationship between the two equations.

Quick Answer

Plot \( y=x^{2} \) and \( y=x^{2}-9 \) on the same axes. The first is a parabola through the origin, and the second is shifted down by 9 units.
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