Question

Use the equation $x=3y^2+4y+1$ to draw the graph.

Short answer

The graph for the equation $x=3y^2+4y+1$ is shown below.

Step-by-step solution

Step 1. Write down the given information.

The given equation is $x=3y^2+4y+1$.

Step 2. Sketch the graph of given equation.

The graph for the equation is shown below.

Step 3. Interpretation from the graph.

It can be interpreted from the graph that the parabola opens towards right, so it is a right-hand parabola.