# How do you graph #y=x^2+6x+9#?

graph{x^2+6x+9 [-10, 10, -2, 10]}

We also have to find the turning point. This can be done in a number of ways, finding the midway point between the roots, setting the derivative equal to 0 or compete the square.

We now have all the information we need to graph the function. Simply mark on your points and sketch:

graph{x^2+6x+9 [-10, 10, -2, 10]}

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To graph ( y = x^2 + 6x + 9 ), you can follow these steps:

- Identify the vertex using the formula ( -\frac{b}{2a} ), where ( a = 1 ) (coefficient of ( x^2 )) and ( b = 6 ) (coefficient of ( x )).
- Substitute the value of the vertex ( x )-coordinate into the equation to find the ( y )-coordinate.
- Plot the vertex on the graph.
- Determine the direction of the parabola based on the coefficient of ( x^2 ) (since it's positive, the parabola opens upwards).
- Find additional points by choosing values for ( x ), plugging them into the equation, and calculating the corresponding ( y )-values.
- Plot these points on the graph.
- Draw a smooth curve passing through these points to represent the graph of ( y = x^2 + 6x + 9 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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