Find the range of this quadratic function. Y=x2+2x

asked Oct 16, 2023 46.4k views

3 votes

Find the range of this
quadratic function.
Y=x2+2x

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6 votes

Answer: -1≤y≤+∞

Explanation:

$y=x^2+2x\\y=x^2+2x+1-1\\y=(x^2+2x+1)-1\\y=(x+1)^2-1\\(x+1)^2\geq 0\\Hence,\\y\geq -1\\Or\\-1\leq y\leq +\infty$

Tedil answered Oct 18, 2023

by Tedil

8.2k points

3 votes

[-1,infinity) would be the range

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