What is the x-coordinate of the vertex of the parabola whose equation is y = 3x^2 + 12x + 5?

In part i, the independent variable, the one that is intentionally manipulated, in part ii, the independent variable changes the dependent variable, the one you measure the response in, is the same for parts i and ii. for both parts of the lab, the dependent variable

Amira is painting a rectangular banner 2 1/4 yards wide. the banner will have a blue background. amira has enough paint to cover 1 1/2 square yards of the wall. the school colors are blue and yellow, so amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yards wide and the same height as the blue rectangle. what will be the total area of the two yellow rectangles?

How many zeros does this polynomial function, y=(x-8)(x+3)^2