y=(3-2x)^2
You asked:
Investigate the equation: \(y = {\left( 3 - 2 x \right)}^{2}\).
MathBot Answer:
The graph of the equation \(y = {\left( 3 - 2 x \right)}^{2}\) is a parabola.
The coordinates of its vertex are: \(\left(\frac{3}{2}, 0\right)\)
The coordinates of its focus are: \(\left(\frac{3}{2}, \frac{1}{16}\right)\)
The directrix has equation: \(16 y + 1 = 0\).
The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= \frac{3}{2} + \theta\\y\left(\theta\right) &= 4 \theta^{2}\end{aligned}\]