Problem

Compare these quadratics by vertex: \(A(x)=-(x-4)^{2}+7\); \(B(x)=-3(x+2)^{2}+5\).

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A vertex=(4,7); A type=maximum; B vertex=(-2,5); B type=maximum; x-location relation=A right of B; vertex-value relation=A higher than B; same x-coordinate=no; same vertex value=no; comparable same-type extrema=yes,A has greater maximum

A vertex=(4,7); A type=maximum; B vertex=(-2,5); B type=maximum; x-location relation=A right of B; vertex-value relation=A lower than B; same x-coordinate=no; same vertex value=no; comparable same-type extrema=yes,B has greater maximum

A vertex=(-4,7); A type=maximum; B vertex=(2,5); B type=maximum; x-location relation=A left of B; vertex-value relation=A higher than B; same x-coordinate=no; same vertex value=no; comparable same-type extrema=yes,A has greater maximum

A vertex=(4,7); A type=minimum; B vertex=(-2,5); B type=minimum; x-location relation=A right of B; vertex-value relation=A higher than B; same x-coordinate=no; same vertex value=no; comparable same-type extrema=yes,A has greater minimum

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Compare these quadratics by vertex: \(A(x)=-(x-4)^{2}+7\); \(B(x)=-3(x+2)^{2}+5\).

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