Graphing the Square Root Parent Function: Easy Steps & Key Points

Graph of Square Root Parent Function

The graph of the square root parent function is a curve that starts at the origin (0,0) and extends to the right and upward

The graph of the square root parent function is a curve that starts at the origin (0,0) and extends to the right and upward. It is represented by the equation y = √x.

To graph the square root parent function, we can start by making a table of values. Choose some x-values and substitute them into the equation to find the corresponding y-values.

Let’s choose x-values from -10 to 10:

For x = -10, y = √(-10) = undefined (since we can’t take the square root of a negative number)
For x = -5, y = √(-5) = undefined
For x = 0, y = √(0) = 0
For x = 5, y = √(5) ≈ 2.236
For x = 10, y = √(10) ≈ 3.162

Now we have some points that we can plot on a graph. Let’s plot them:

(-5, undefined), (0, 0), (5, 2.236), (10, 3.162)

The graph of the square root parent function starts at the origin (0,0), then curves upward and to the right. It never goes below the x-axis because the square root of a positive number is always positive.

Keep in mind that the shape of the graph won’t be smooth because we have chosen only a few points to plot. To get a smoother graph, you can add more points or use a graphing calculator or software.

In summary, the graph of the square root parent function is a curve that begins at the origin and extends upward and to the right.

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