Problem

Use the form of \(2x^{2}-8x+3\) that displays its \(y\)-intercept most directly. Identify the term that gives the value at \(x=0\), state the intercept as an ordered pair, and say why another form would require extra work.

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target feature=y-intercept/value at x0; selected form=2x²−8x+3; visible parameter=constant term3; answer=f(0)=3 and intercept(0,3); why alternative less direct=requires substituting0 into vertex form

target=y-intercept; selected form=2(x−2)²−5; visible parameters=vertex(2,−5); answer=f(0)=3 after substitution; alternative less direct=standard form already shows constant3

target=y-intercept; selected form=2(x−2)²−5; visible parameter=k=−5; answer=intercept(0,−5); alternative less direct=none

target=y-intercept; selected form=both forms equally direct; visible parameters=all; answer=(0,3); alternatives less direct=none

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Use the form of \(2x^{2}-8x+3\) that displays its \(y\)-intercept most directly. Identify the term that gives the value at \(x=0\), state the intercept as an ordered pair, and say why another form would require extra work.

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