# Tangential to Parabola

Algebra Level 2

Let $$y=x^2+px+q$$ be the equation of a parabola tangential to the line $$y=14x.$$ The locus of the vertex of this parabola for the changes in the values of $$p$$ and $$q$$ can be expressed as the equation $$y=ax+b.$$ What is the value of $$a+b?$$

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