Question

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

Answer 1

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).

What is a function?

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:

https://brainly.com/question/2253924

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