SOLUTION: Find the y-intercept of the line with gradient -3 that is tangential to the parabola
y = 2x^2-5x + 1.
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Question 1092312: Find the y-intercept of the line with gradient -3 that is tangential to the parabola
y = 2x^2-5x + 1.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Find the derivative y'
You are given y' = -3
Now find on the parabola
where slope =
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The line is tangent to the parabola at the point ( 1/2, -1 )
The slope intercept form is:
where is the y-intercept
The y-intercept is at ( 0, 1/2 )
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Check:
Here's the plot of parabola and straight line:
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