What is c=100q^2-20000q+1500000 ?

The solution to c=100q^2-20000q+1500000 is Parabola with (h,k)=(500000,100),p= 1/400

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c=100q^2-20000q+1500000

c = 100 q^{2} - 20000 q + 1500000

(h, k) = (500000, 100), p = \frac{1}{400}

Solution steps

c = 100 q^{2} - 20000 q + 1500000

Rewrite

c = 100 q^{2} - 20000 q + 1500000

in the standard form

4 \cdot \frac{1}{400} (c - 500000) = (q - 100)^{2}

Therefore parabola properties are:

(h, k) = (500000, 100), p = \frac{1}{400}

(x - 6)^{2} + (y + 3) = 2 5^{2}

(x - 2)^{2} = 8 (y - 2)

y^{2} = 5 + 5 x

y^{2} + 8 x + 16 = 0

y^{2} + y - 8 = 2 x

What is c=100q^2-20000q+1500000 ?
The solution to c=100q^2-20000q+1500000 is Parabola with (h,k)=(500000,100),p= 1/400