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Equation of a tangent or normal line

Question 1 of 8

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Consider the function shown below

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

The point of contact has x-coordinate \(-1\)

\[x=-1\]
(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