?What is the maximum vertical distance between the line $y=x+2$ and the parabola

Chapter 4, Problem 5

(choose chapter or problem)

What is the maximum vertical distance between the line $y=x+2$ and the parabola $y=x^{2}$ for $-1 \leqslant x \leqslant 2 ?$

Equation Transcription:

$y=x+2$

$y={x}^{2}$

$-1\leq{}x\leq{}2$

Text Transcription:

y=x+2

y=x62

-1 < or = x < or = 2

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?What is the maximum vertical distance between the line \(y=x+2\) and the parabola