What is (q)=2q^2-40p+600 ?

The solution to (q)=2q^2-40p+600 is Parabola with (h,k)=(1/4 , 4799/320),p=5

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(q)=2q^2-40p+600

(q) = 2 q^{2} - 40 p + 600

(h, k) = (\frac{1}{4}, \frac{4799}{320}), p = 5

Solution steps

q = 2 q^{2} - 40 p + 600

Rewrite

q = 2 q^{2} - 40 p + 600

in the standard form

4 \cdot 5 (p - \frac{4799}{320}) = (q - \frac{1}{4})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{4}, \frac{4799}{320}), p = 5

\frac{( y - 5 ) ^{2}}{4} = \frac{40 ( x + 0 )}{4}

x^{2} - x - k (x) = 0

10 x^{2} - 256 = 300 f (x) in d

(y + 2)^{2} = 3 x + 1

x^{2} - 10 - 15 y + 21 = 0

What is (q)=2q^2-40p+600 ?
The solution to (q)=2q^2-40p+600 is Parabola with (h,k)=(1/4 , 4799/320),p=5