Question

Without drawing the graph of the equation, determine how many points the parabola has in common with the x-axis and whether its vertex lies above, on, or below the x-axis.

y = 3x2 – 12x + 12

Answer 1

The answer is, 1 point in common; vertex on x-axis

Answer 2

We are given with th equation y = 3x2 – 12x + 12. In this respect, we expect that this is a parabola and that the vertex does not lie on (0,0). Since the power or degree is 2, it is expected that per value of y, there are two equivalent x's in the plot. You can verify it in the graph.