math
· See the graphs below for quadratic equations based on their discriminant values.
Comments and Conclusions?
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quadratic equations and their solutions |
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x2 - 2x - 3 = 0 |
x2 - 6x + 9 = 0 |
x2 + 3x + 3 = 0 |
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a positive number inside the square root |
zero inside the square root |
a negative number inside the square root |
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two distinct real-number solutions |
one (repeated) real-number solution |
no real-number solutions |
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associated functions and their graphs |
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y = x2 - 2x - 3 |
y = x2 - 6x + 9 |
y = x2 + 3x + 3 |
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two distinct x-intercepts |
one (repeated) x-intercept |
no x-intercepts |