Use the graph of f to sketch the graph of $y = f ( x + 1 )$ .

Question

Quizplus · Accepted Answer

To sketch the graph of $y=f(x+1)$, we need to shift the graph of $f$ one unit to the left. This means that all the points on the graph of $f$ will be shifted one unit to the left, so we need to replace $x$ with $(x+1)$. This gives us the equation $y=f(x+1)$, which means that $y$ equals the value of $f$ at $x+1$.

Looking at the graph of $f$, we can see that the point $(0,1)$ is on the graph. To shift this point one unit to the left, we need to subtract one from the $x$-coordinate. This gives us the point $(-1,1)$. Similarly, the point $(2,0)$ is on the graph, so shifting this point one unit to the left gives us the point $(1,0)$.

We can continue this process for all the points on the graph of $f$ and plot them on the graph of $y=f(x+1)$. The resulting graph is shown in choice (B).

Use the Graph of F to Sketch the Graph Of y