Question
(a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or minimum value, and find that value; and (d) graph the function$$f(x)=x^{2}-7 x+12$$
Step 1
The vertex form of a parabola is $f(x) = a(x-h)^2 + k$, where $(h, k)$ is the vertex of the parabola. The given function is $f(x) = x^2 - 7x + 12$. We can rewrite this as $f(x) = (x - \frac{7}{2})^2 - (\frac{7}{2})^2 + 12$. Show more…
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