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anonymous
 5 years ago
Without drawing the graph of the equation, determine how many points the parabola has in common with the xaxis and whether its vertex lies above, on, or below the xaxis.
y = 2x^2 + x 3
anonymous
 5 years ago
Without drawing the graph of the equation, determine how many points the parabola has in common with the xaxis and whether its vertex lies above, on, or below the xaxis. y = 2x^2 + x 3

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The x axis can be described as y=0 , so to find which points these two functions have in common, set them equal to each other, that is, plug in 0 for y (remember what solutions you get when you have an x^2 term). To find the vertex, notice constant term 3. What does this imply?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0does that mean that there will be 2 points in common ; vertex below xaxis

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not necessarily. you're right about the vertex being below the x axis, but also look at the coefficient of the x^2 term. the negative means it's opening downward. since the vertex is below the x axis, that means there are no points in common.
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