How do you find the important parts of the equation to graph the function #y=(x-3)^2+2#?
y-intercept = 2
x-intercept = 3
The intended value of x-intercept is -3, but the symbol needs to be changed.
Actually, it looks like this: x-3=0 x=3.
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To graph the function y = (x - 3)^2 + 2, you can identify the key components:
- The vertex, which is the point (h, k) of the parabola. In this case, the vertex is (3, 2).
- The axis of symmetry, which is a vertical line passing through the vertex. It is given by the equation x = h. So, in this case, x = 3.
- The direction of opening, which is determined by the sign of the coefficient of the squared term. Since it's positive, the parabola opens upwards.
- Additional points: You can choose additional x-values to find corresponding y-values, or you can plot points symmetrically around the vertex.
Once you have these components, you can plot the vertex, axis of symmetry, and additional points to sketch the graph of the function.
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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.
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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