What is y^1=-0.45x^2+x+6 ?

The solution to y^1=-0.45x^2+x+6 is Parabola with (h,k)=(1.11111…,6.55555…),p=-0.55555…

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y^1=-0.45x^2+x+6

y^{1} = - 0.45 x^{2} + x + 6

(h, k) = (1.11111 \dots, 6.55555 \dots), p = - 0.55555 \dots

Solution steps

y^{1} = - 0.45 x^{2} + x + 6

Rewrite

y^{1} = - 0.45 x^{2} + x + 6

in the standard form

4 (- 0.55555 \dots) (y - 6.55555 \dots) = (x - 1.11111 \dots)^{2}

Therefore parabola properties are:

(h, k) = (1.11111 \dots, 6.55555 \dots), p = - 0.55555 \dots

y^{2} = 1 - 4 x

2 x^{2} + 9 z + 10 = 0

x^{2} - 6 x + 12 y - 15 = 0

2 x^{2} - 12 x - 11 y + 40 = 0

3 y^{2} - x = 9

What is y^1=-0.45x^2+x+6 ?
The solution to y^1=-0.45x^2+x+6 is Parabola with (h,k)=(1.11111…,6.55555…),p=-0.55555…