a) Use the point gradient formula.

b) Solve simultaneously the equations of the parabola and line. You'll end up with one big equation.

Use:

1. the observation that if the line is tangent to the parabola, there is only one solution to that equation, and

2. the properties of the discriminant

c) If you haven't already, draw a diagram. Two lines passing through the point (-3, 2) are tangents to the parabola. You are asked to find where these lines touch the parabola. Part b) sets you up to answer this question.

d) A focal chord is one that passes through the focus of a parabola. Use the condition of a focal chord for the parameters and of points and .

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