How do you graph #y=(x-4)^2 # by plotting points?
Refer to the explanation for the process.
Graph:
Plot the nine points on a grid, then draw a parabola through each point.
plot{y=(x-4)^2 [-12.71, 17.32, -3.1, 12.92]}
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To graph the equation ( y = (x - 4)^2 ) by plotting points, follow these steps:
- Choose a range of x-values to plot, such as -2, -1, 0, 1, 2, 3, 4, 5, and 6.
- Substitute each chosen x-value into the equation to find the corresponding y-value.
- Plot the points (x, y) on the coordinate plane.
- Connect the points to form the graph of the equation.
Here are some points to plot:
- When ( x = 0 ), ( y = (0 - 4)^2 = 16 ), so plot the point (0, 16).
- When ( x = 1 ), ( y = (1 - 4)^2 = 9 ), so plot the point (1, 9).
- When ( x = 2 ), ( y = (2 - 4)^2 = 4 ), so plot the point (2, 4).
- When ( x = 3 ), ( y = (3 - 4)^2 = 1 ), so plot the point (3, 1).
- When ( x = 4 ), ( y = (4 - 4)^2 = 0 ), so plot the point (4, 0).
- When ( x = 5 ), ( y = (5 - 4)^2 = 1 ), so plot the point (5, 1).
- When ( x = 6 ), ( y = (6 - 4)^2 = 4 ), so plot the point (6, 4).
Connect these points, and you'll have the graph of the equation ( y = (x - 4)^2 ).
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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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