Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. −6y^2 − 9y = −1 a, –9.5, 8 b, –0.1, 1.6 c, –3.21, 0.21 d, –1.6, 0.1

It is usually nicer to work with positive numbers, so add the opposite of the left side of the equation.
  0 = 6y² + 9y -1
You identify a=6, b=9, c=-1 for the quadratic formula, which tells you
  y = (-b ±√(b²-4ac))/(2a)
  y = (-9 ±√(9²-4(6)(-1)))/(2·6)
  y = (-9 ±√105)/12
  y = -1.60, 0.10

The appropriate choice is
  D, -1.6, 0.1

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You don't really need to solve the equation if you can test the offered solutions. Dividing by the coefficient of y², your equation becomes
  y² + (3/2)y - (1/6) = 0
This tells you the sum of the roots will be -3/2 (the opposite of the y coefficient), and their product will be -1/6 (the constant term). Selections A and C have the wrong product; selection B has the wrong sum.

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.