Find the equation of the parabola y = ax2 + bx + c that passes through the points (0, 3), (1,4), and (2, 3).

a.) y = -(¼)x2 + (½)x + 3
b.) y = -(⅔)x2 + (5/3)x + 3
c.) y = 2x2 - 13x + 21
d.) y = -x2 + 2x + 3

Which compound inequality could be represented by the graph?

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2

The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm