What is 4g(x)=5x^2+9x+4 ?

The solution to 4g(x)=5x^2+9x+4 is Parabola with (h,k)=(-9/10 ,-1/80),p= 1/5

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4g(x)=5x^2+9x+4

4 g (x) = 5 x^{2} + 9 x + 4

(h, k) = (- \frac{9}{10}, - \frac{1}{80}), p = \frac{1}{5}

Solution steps

4 y = 5 x^{2} + 9 x + 4

Rewrite

4 y = 5 x^{2} + 9 x + 4

in the standard form

4 \cdot \frac{1}{5} (y - (- \frac{1}{80})) = (x - (- \frac{9}{10}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{9}{10}, - \frac{1}{80}), p = \frac{1}{5}

y - 2 x^{2} = 6

\frac{( d ^{2} y )}{( d x ^{2} )} - a = 0

x = \frac{1}{16} (y + 4)^{2} + 2

\frac{y - 2 ^{2}}{4} - \frac{x ^{2}}{9} = 1

3 y^{(2)} = 10 x

What is 4g(x)=5x^2+9x+4 ?
The solution to 4g(x)=5x^2+9x+4 is Parabola with (h,k)=(-9/10 ,-1/80),p= 1/5