## Question

###### Find an equation of the tangent line to the parabola $y=a x^{2}$ at $x=x_{0} .$ Prove that the $x$ -intercept of this tangent line is $\left(x_{0} / 2,0\right) .$

Find an equation of the tangent line to the parabola $y=a x^{2}$ at $x=x_{0} .$ Prove that the $x$ -intercept of this tangent line is $\left(x_{0} / 2,0\right) .$

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