Question

Match each function with its graph. $y=\sqrt{x+4}$

   Match each function with its graph.
$y=\sqrt{x+4}$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 10, Problem 26

Instant Answer

Solved by Expert Shawn Gedert

04/26/2020

Step 1

This is a square root function, which typically starts at the origin (0,0) and increases as x increases. Show more…

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Match each function with its graph. $y=\sqrt{x+4}$

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Key Concepts

Horizontal Translation

A horizontal translation moves the graph of a function left or right. In the given function, y = sqrt(x+4), the addition of 4 inside the square root shifts the graph 4 units to the left, changing the starting point of the curve compared to the standard square root function.

Square Root Function

This function has a characteristic shape starting at a specific point (where the radicand is zero) and increases gradually. It is defined only for non-negative inputs of the radicand. Understanding its basic graph is key to analyzing how transformations will affect it.

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