What is 3x^2+5x-k(x)=0 ?

The solution to 3x^2+5x-k(x)=0 is Parabola with (h,k)=(-5/6 ,-25/12),p= 1/12

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3x^2+5x-k(x)=0

3 x^{2} + 5 x - k (x) = 0

(h, k) = (- \frac{5}{6}, - \frac{25}{12}), p = \frac{1}{12}

Solution steps

3 x^{2} + 5 x - y = 0

Rewrite

3 x^{2} + 5 x - y = 0

in the standard form

4 \cdot \frac{1}{12} (y - (- \frac{25}{12})) = (x - (- \frac{5}{6}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{5}{6}, - \frac{25}{12}), p = \frac{1}{12}

What is 3x^2+5x-k(x)=0 ?
The solution to 3x^2+5x-k(x)=0 is Parabola with (h,k)=(-5/6 ,-25/12),p= 1/12