Questions: Graph the following function. y=(x+2)^2

Transcript text: Graph the following function. \[ y=(x+2)^{2} \]

Solution

Solution Steps

Step 1: Identify the Function

The function given is $ y = (x+2)^2 $.

Step 2: Determine the Type of Plot

The function is a quadratic equation, which is typically plotted on a Cartesian coordinate system.

Step 3: Determine the Range for the Plot

To graph the function effectively, we need to choose an appropriate range for $ x $. A common choice for quadratic functions is to select a range that includes the vertex and a few points on either side. Let's choose $ x $ from -5 to 1, which will cover the vertex at $ x = -2 $.

Final Answer

The function to be graphed is $ y = (x+2)^2 $ on a Cartesian coordinate system with $ x $ ranging from -5 to 1.

{"axisType": 3, "coordSystem": {"xmin": -5, "xmax": 1, "ymin": 0, "ymax": 10}, "commands": ["y = (x+2)**2"], "latex_expressions": ["$y = (x+2)^2$"]}

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