Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Express r(x)=x2−4x+4r(x)=x^2-4x+4r(x)=x2−4x+4 in vertex form.
Write g(x)=x2+6x+5g(x)=x^2+6x+5g(x)=x2+6x+5 in vertex form.
Convert v(x)=x2+10x+21v(x)=x^2+10x+21v(x)=x2+10x+21 into vertex form.
Express the quadratic function f(x)=2x2−10x+12f(x)=2x^2-10x+12f(x)=2x2−10x+12 in vertex form.
Express u(x)=2x2+8x+6u(x)=2x^2+8x+6u(x)=2x2+8x+6 in vertex form.
Convert h(x)=3x2+12x−3h(x)=3x^2+12x-3h(x)=3x2+12x−3 into vertex form.
Convert the quadratic q(x)=4x2−4x+7q(x)=4x^2-4x+7q(x)=4x2−4x+7 into vertex form.
Express p(x)=−2x2+8x+1p(x)=-2x^2+8x+1p(x)=−2x2+8x+1 in vertex form.
Write s(x)=5x2+20x+15s(x)=5x^2+20x+15s(x)=5x2+20x+15 in vertex form.
Write w(x)=3x2−18x+27w(x)=3x^2-18x+27w(x)=3x2−18x+27 in vertex form.
Express y(x)=−4x2+16x−5y(x)=-4x^2+16x-5y(x)=−4x2+16x−5 in vertex form.
Convert t(x)=−3x2−6x+9t(x)=-3x^2-6x+9t(x)=−3x2−6x+9 into vertex form.
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Question Type 2: Factorizing to get from ax^2 + bx + c to a(x-p)(x-q)
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Question Type 4: Finding roots of quadratics by converting into a(x-p)(x-q) and equating to 0