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1 of 8 0-day streak

Apply tangent and normal geometry to a polynomial curve

Question 1 of 8

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A curve is defined by the rule below

\[q(x)=-x^{2} + 3x - 3\]

The point of contact has x-coordinate \(0\)

\[x=0\]
(a)1 mark

Determine the equation of the tangent at the given point. Enter the gradient of the required line

Format: Give an exact value
(b)1 mark

Enter the intercept of the required line in \(y=mx+c\) form

Format: Give an exact value