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What is the range of y = -3x2 + 2? A. y ≤ -3 B. y ≥ 2 C. y ≤ 2 D. y: all real numbers idk how to do the process :(
I'm assuming you mean:\[y = -3x ^{2} + 2\] The easiest way to solve this is to use a graphing calculator to look at the function. From the graphing calculator you can tell that the function is a parabola opening downward, and that it never goes past a certain point. To find this point, we just need to think about the equation. We know it has two parts to it, -3x^2 and a constant. Since -3x^2 is can only decrease, we know that this highest point must be the constant, 2. Therefore C is the correct answer.
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