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MATEMATICA Es. 05

MATEMATICA โ€” Esercizio 05

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Parabola study: draw the function y = x^2 - 4x + 3 using the graph.

Analyse the curve:
- What are the zeros of the function (where f(x) = 0)?
- What is the vertex of the parabola? Is it a minimum or maximum point?
- Is the parabola opening upward or downward? Why?

Hint: use the graph to visually find the zeros, then verify with the quadratic formula.

Analisi: The student must connect the graphical visualization with algebra. Ask: 'Looking at the graph, how many zeros can you see? Can you also calculate them with the formula x = (-b ยฑ โˆš(bยฒ-4ac)) / 2a?' Guide toward the concept of the discriminant and vertex V = (-b/2a, f(-b/2a)).

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