Answer
See graph and explanations.
Work Step by Step
Step 1. Rewrite the equation as $y^2+(8x)y+(7x^2-1)$ and let $a=1, b=8x, c=7x^2-1$
Step 2. Use the quadratic formula $y=\frac{-b\pm\sqrt {b^2-4ac}}{2a}$ to get $y=\frac{-8x\pm\sqrt {(8x)^2-4(1)(7x^2-1)}}{2}=-4x\pm\sqrt {9x^2+1}$
Step 3. We can graph the equations $y_1=-4x+\sqrt {9x^2+1}$ and $y_2=-4x-\sqrt {9x^2+1}$ as shown in the figure.
