Final answer:
The equation of the new function obtained by shifting the quadratic parent function, F(x) = x^2, down 10 units is g(x) = x^2 - 10. Plugging in a value for x will give you a point on the graph of the new function.
Step-by-step explanation:
The equation of the new function, obtained by shifting the quadratic parent function, F(x) = x², down 10 units, can be determined by subtracting 10 from the original function. So, the equation of the new function, let's call it g(x), would be g(x) = x² - 10.
For example, if you plug in a specific value for x, say 3, into the new function equation, you would have g(3) = (3)² - 10 = 9 - 10 = -1. This means that the point (3, -1) is on the graph of the new function.
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