SOLUTION: Find the value for c such that y = x + c is a tangent to the parabola y = x^2-x-12. Can you please help me do questions like that? What is meant by 'tangent to the parabola'?

Question 1114498: Find the value for c such that y = x + c is a tangent to the parabola
y = x^2-x-12.
Can you please help me do questions like that? What is meant by 'tangent to the parabola'?
Thankyou
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
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What is meant by 'tangent to the parabola'?
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The line which touches but does not cross the parabola at the particular local point.

Slope of a tangent line to the parabola is .

meaning,

The point on the parabola for x=1 is

This point (1,-12) is both on the parabola and also on the line .

The tangent line at that point:

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