Solve y=0.0035(x+1)^2-1

$$y = 0.0035 ( x + 1 ) ^ { 2 } - 1$$

Solve for y

$$y=\frac{7\left(x+1\right)^{2}}{2000}-1$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.

$$y=0.0035\left(x^{2}+2x+1\right)-1$$

Use the distributive property to multiply 0.0035 by x^{2}+2x+1.

$$y=0.0035x^{2}+0.007x+0.0035-1$$

Subtract 1 from 0.0035 to get -0.9965.

$$y=0.0035x^{2}+0.007x-0.9965$$

Solve for x (complex solution)

$$x=-\frac{20\sqrt{35y+35}}{7}-1$$

$$x=\frac{20\sqrt{35y+35}}{7}-1$$

Solve for x

$$x=-\frac{20\sqrt{35y+35}}{7}-1$$

$$x=\frac{20\sqrt{35y+35}}{7}-1\text{, }y\geq -1$$