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Julli [10]
3 years ago
8

Kimmie compares the graph of g(x) = |x - 2| - 3 to the graph of f(x) = |x| Which describes the graph of g(x) compared to f(x)

Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer:

We could start with the simpler function f(x) = IxI and construct the other function using transformations.

First, an horizontal translation of A units to the right is written as:

g(x) = f(x - A)

And an vertical translation of A units up, is written as:

g(x) = f(x) + A.

Where A is positive and this works for any function f(x).

Then in this case, if we start with:

f(x) = IxI and:

g(x) = Ix - 2I -3

Then:

First we do an horizontal translation of 2 units to the right.

g(x) = f(x - 2) = Ix - 2I

Then we do a vertical translation of -3 units up (or a translation of 3 units down)

g(x) = f(x - 2) - 3 = Ix - 2I - 3

Those two transformations are the ones that relate the graphs of g(x) and f(x)

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Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was <u>half </u>of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

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