A curve has the equation
$$y = -2x^2 +6x - 5$$
The completing square for the equation above is
$$ y = -2\left(x-\frac32 \right)^2 - \frac12$$
Use the sketch graph, state the number of solutions to each equation
$a)$ $|-2x^2 +6x -5| = 2$
$b)$ $|-2x^2 +6x -5| = -3$
How do I determine the number of solutions? I managed to find the turning point of the curve equation $ = \left(\frac32, -\frac12\right)$. There is a y-intercept at $(0,-5)$ and when I substitute $1 $ and $2$ into the curve equation, I will get $-1$ for both values of $x.$