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Mathematics - Algebra

Question: What is the difference in solving the quadratic equation x^2 - 8x + 12 = 0 and the quadratic function f(x) = x^2 - 8x + 12? How many solutions do each of these have? Is there a relationship between the two (think of the graph)?

How many solutions does the function have? What happens when we graph them?

Solution Preview

(1a) When we solve the equation x^2 - 8x + 12 = 0, we are solving for the x- intercepts of the parabola x^2 - 8x + 12.

(At these points, the parabola ...

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A Complete, Neat and Step-by-step Solution is provided.