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| Math Central | Quandaries & Queries |
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Question from fahmie, a student: graph and solve the intersection of the following equations: |
Hi Fahmie,
The second equation can be rewritten $y = -\frac12 x^2 + 4$ so it is a parabola that opens downward. When $x = 0$ what is $y?$ When $y = 0$ what is $x?$ Sketch its graph.
The first equation is a circle. What is its radius? What is its center? Plot its graph.
To solve the equations solve the second equation for $x^2,$ substitute into the first equation and solve for $y.$
Penny
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