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Zepler [3.9K]
2 years ago
5

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function g(

x)=(x−4)2+2?
−4
−2
2
4
Mathematics
1 answer:
Dimas [21]2 years ago
7 0

The value 4 represents the horizontal transformation from the graph of the function f(x) = x^2 to the graph of the function g(x).

<h3>What is a function?</h3>

Function is a type of relation, or rule, that maps one input to specific single output.

We have given that parent function

f(x) = x^2

After translation of the parent function

g(x)=(x-4)^2+2

The General equation of parabola along y-axis

y=(x-h)^2+k

The vertex of the function is (h,k).

The given function is an equation of parabola along y-a xis.

By comparing the given function with the general equation of parabola,

The vertex of function f(x) is (0,0).

The vertex of function g(x) is (4,2).

Therefore, h of f(x) is a shift towards the right and then we can get h of g(x) =4.

Hence, the value 4 represents the horizontal transformation from the graph of the function f(x) = x^2 to the graph of the function g(x).

Learn more about function here:

brainly.com/question/2253924

#SPJ1

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