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Which statement describes the effect on the parabola f(x)=2x^2-5x+3 when it is changed to f(x)=2x^2-5x+1? A. The parabola is translated up I unit. B. The parabola is translated up 2 units. C. The parabola is translated down I unit. D. The parabola is translated down 2 units.

Pergunta

Which statement describes the effect on the parabola f(x)=2x^2-5x+3 when it is changed to f(x)=2x^2-5x+1?
A. The parabola is translated up I unit.
B. The parabola is translated up 2 units.
C. The parabola is translated down I unit.
D. The parabola is translated down 2 units.

Which statement describes the effect on the parabola f(x)=2x^2-5x+3 when it is changed to f(x)=2x^2-5x+1? A. The parabola is translated up I unit. B. The parabola is translated up 2 units. C. The parabola is translated down I unit. D. The parabola is translated down 2 units.

Solução

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EdlaineElite · Tutor por 8 anos

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To determine the effect on the parabola when the constant term is changed from 3 to 1, we need to compare the two functions:<br /><br />Original function: $f(x) = 2x^2 - 5x + 3$<br />Modified function: $f(x) = 2x^2 - 5x + 1$<br /><br />The change in the constant term results in a vertical translation of the parabola. Specifically, the parabola is translated down by 2 units.<br /><br />Therefore, the correct answer is:<br />D. The parabola is translated down 2 units.
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