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Yuri [45]
3 years ago
14

in the function y-1=1/2(x-6)^2 what effect does the number 6 have on the graph, as compared to the graph y=x^2

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer: The graph is shifted 6 units to the right.

Step-by-step explanation:

It is important to remember that:

When f(x-k), then the function is shifted "k" units to the right.

Knowing this and given the quadratic parent function y=x^2 and the function y-1=\frac{1}{2}(x-6)^2, you can observe that one of the transformations is the following:

f(x-k)

Where:

k=6

Therefore, you can notice that the effect is:

The graph is shifted 6 units to the right.

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Answer:

y = 2x - 3

Yes, your answer is correct.

Step-by-step explanation:

First, find the slope of the two points by using the slope formula:

        y2 - y1

m = -------------

        x2 - x1

         13 - 5

m = -------------

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         8

m = ------- = 2

         4

To find the y-intercept, plug in values into the slope-intercept formula:

y = mx + b

Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):

5 = (2) (4) + b

5 = 8 + b

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y = 2x - 3

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