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Use technology to find points and then graph the function,y=2(x−4) ^2 following the instructions below.

Use technology to find points and then graph the function,y=2(x−4) ^2 following the-example-1

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Answer:

Points to place: (2,8),(3,2),(4,0),(5,2),(6,8)

User Conor Svensson
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6 votes

The graph of y = 2(x - 4)^2 is a upward-opening parabola. Points (0, 32), (2, 8), (4, 0), (6, 8), and (8, 32) were plotted to illustrate the shape of the quadratic function.

To graph the function y = 2(x - 4)^2, we can identify points on the graph by selecting values for x and computing the corresponding y values. Below, five points are chosen to illustrate the shape of the quadratic function:

When x = 0: y = 2(0 - 4)^2 = 32

Point: (0, 32)

When x = 2: y = 2(2 - 4)^2 = 8

Point: (2, 8)

When x = 4: y = 2(4 - 4)^2 = 0

Point: (4, 0)

When x = 6: y = 2(6 - 4)^2 = 8

Point: (6, 8)

When x = 8: y = 2(8 - 4)^2 = 32

Point: (8, 32)

Now, plot these points on a coordinate plane and connect them smoothly to represent the graph of y = 2(x - 4)^2. The function is a parabola that opens upwards since the coefficient of the x^2 term is positive.

Use technology to find points and then graph the function,y=2(x−4) ^2 following the-example-1
User Kyara
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8.2k points

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