Questions: Write the function whose graph is the graph of y=x but is shifted to the right 9 units. y= (Simplify your answer.)

Transcript text: Write the function whose graph is the graph of $y=|x|$ but is shifted to the right 9 units. \[ \mathrm{y}=\square \] (Simplify your answer.)

Solution

Solution Steps

Step 1: Identify the Base Function

The base function is $y = |x|$.

Step 2: Determine the Horizontal Shift

Graph is shifted 9 units right.

Step 3: Determine the Vertical Shift

No vertical shift.

Step 4: Substitute $h$ and $k$ into the General Form

The translated function is $f(x) = |x - (9)| + 0$.

Step 5: Calculate the Value of $f(x)$ for a Given $x$-value

For $x = 0$, $f(x) = 9$.

Final Answer:

The value of the function at $x = 0$ is $f(x) = 9$.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!