SOLUTION: 9.) 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

Question 195118: 9.) 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 = 2x2 + x + 3

10.) 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 by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
9)
:

:
equation with the form open up or down....if a postive it opens up and if a is negative opens down
:
since the vertex is at (-1/4,23,8) and lies above the x axis and a is positive meaning this parabola opens up then we know it doesnt cross the x axis.
:

:
10)
:

:
since the vertex is at (2,0) and lies on x axis and a is positive meaning this parabola opens up then we know has only one point in common with the x axis and that point is (2,0)

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