How do you graph #y=(x-4)^2 # by plotting points?

Answer 1

Refer to the explanation for the process.

Graph:

#y=(x-4)^2#
This is a quadratic equation in vertex form: #y=a(x-h)^2+k#, where #k=0#, and the graph will be a parabola.
Choose values for #x# and solve for #y#. These will be your points.
#x=0,##y=16#
#x=1,##y=9#
#x=2,##y=4#
#x=3,##y=1#
#x=4,##y=0#
#x=5,##y=1#
#x=6,##y=4#
#x=7,##y=9#
#x=8,##y=16#

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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Answer 2

To graph the equation ( y = (x - 4)^2 ) by plotting points, follow these steps:

  1. Choose a range of x-values to plot, such as -2, -1, 0, 1, 2, 3, 4, 5, and 6.
  2. Substitute each chosen x-value into the equation to find the corresponding y-value.
  3. Plot the points (x, y) on the coordinate plane.
  4. 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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Answer from HIX Tutor

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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