Finding coefficients of quadratic formula given certain properties Given

Markelovnsl

Markelovnsl

Answered question

2022-04-06

Finding coefficients of quadratic formula given certain properties
Given the quadratic equation ax2+bx+c, how do you find a,b and c given you know:
the gradient of the curve at the y intercept
the equation of the tangent at point P
the gradient of the normal at point P

Answer & Explanation

blessgansgxei

blessgansgxei

Beginner2022-04-07Added 10 answers

Hint. In other words, you want to determine the curve y=ax2+bx+c, given that
(1) y=m at x=0,
(2) y=n at x=p,
(3) y=q when x=p.
You have three linear equations in a,b and c.
PS. The value n is equal to 1n, the gradient of the normal at P(p,q).

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