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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Step-by-step Solution
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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