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kobusy [5.1K]
3 years ago
9

The graphs below have the same shape. What is the equation of the blue

Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Answer:

g(x)=(x-2)^2

Step-by-step explanation:

The complete question in the attached figure

we have that

f(x)=x^2

This is a vertical parabola open upward

The vertex represent a minimum

The vertex is the origin (0,0)

The function g(x) have the same shape of f(x)

The vertex of the function g(x) is the point (2,0)

so

The transformation of f(x) to g(x) is

f(x) ----> g(x)

(0,0) ----> (2,0)

The rule of the transformation is

(x,y) ----> (x+2,y)

That means ----> The transformation is a translation 2 units at right

therefore

The function g(x) is equal to

g(x)=(x-2)^2

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The teacher ordered the students in 24 ways.

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An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)

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