The line $y = 2x + c$ is tangent to the parabola $y^2 = 8x.$  Find $c.$
Question:
The line $y = 2x + c$ is tangent to the parabola $y^2 = 8x.$  Find $c.$
Answer:
Let's think step by step.

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The line $y = 2x + c$ is tangent to the parabola $y^2 = 8x.$  Find $c.$
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