SOLUTION: use the discriminant to determine the number of points of intersection on the line y= 3x +5 and the quadratic function f(x) = 3x^2 -2x-4
Solve to find the points of intersection.
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Question 769550: use the discriminant to determine the number of points of intersection on the line y= 3x +5 and the quadratic function f(x) = 3x^2 -2x-4
Solve to find the points of intersection.
Found 2 solutions by reviewermath, josgarithmetic:
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
Use the discriminant to determine the number of points of intersection on the line y= 3x +5 and the quadratic function f(x) = 3x^2 -2x-4
Solve to find the points of intersection.
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A:
= 3x + 5
= 0
a = 3, b = -5, c = -9
discriminant, = = 133 > 0, therefore
there are two points of intersections.
Here's the graph:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Finding points of intersection between the line and the parabola means we equate "y" and f(x):
simplifying into
Finding how many points can use the discriminant of that:
...only need to see that this value is positive.
Seeing the discriminant is positive, means has TWO real roots, so this means TWO points of intersection between "y" and f(x).
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