Questions: Which of the following functions has a graph that is the graph of y=sqrt(x) shifted down 4 units? Choose the correct answer below. y=sqrt(x+4) y=sqrt(x-4) y=sqrt(x)-4 y=sqrt(x)+4

Which of the following functions has a graph that is the graph of y=sqrt(x) shifted down 4 units?

Choose the correct answer below.
y=sqrt(x+4)
y=sqrt(x-4)
y=sqrt(x)-4
y=sqrt(x)+4

Transcript text: Which of the following functions has a graph that is the graph of $y=\sqrt{x}$ shifted down 4 units? Choose the correct answer below. $y=\sqrt{x+4}$ $y=\sqrt{x-4}$ $y=\sqrt{x}-4$ $y=\sqrt{x}+4$

Solution

Solution Steps

To determine which function represents the graph of $ y = \sqrt{x} $ shifted down 4 units, we need to understand how vertical shifts affect the graph of a function. A vertical shift down by 4 units means we subtract 4 from the original function.

Step 1: Identify the Original Function

The original function given is $ y = \sqrt{x} $.

Step 2: Determine the Transformation

To shift the graph of $ y = \sqrt{x} $ down by 4 units, we subtract 4 from the original function. This results in the new function: \[ y = \sqrt{x} - 4 \]

Final Answer

$\boxed{y = \sqrt{x} - 4}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!