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4 of 5 Analyze the graphs and describe the shift that occurs from \( g(x)=5 \sqrt{x+3}-4 \) to \( g(x)=5 \sqrt{x+7}-4 \). For the first response, enter 1 for left and 2 for right. (1 point) The transformation is a shift \( \square \) by \( \square \) units. Check answer Remaining Attempts : 3

Ask by Osborne Best. in the United States
Jan 21,2025

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The graph shifts 4 units to the left.

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The Deep Dive

The transformation is a shift 1 by 4 units. In this case, the function \( g(x)=5 \sqrt{x+7}-4 \) is derived from \( g(x)=5 \sqrt{x+3}-4 \) by shifting it to the left. The change from \( +3 \) to \( +7 \) translates the graph 4 units to the left on the x-axis, giving it a new position while maintaining its shape!

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