Answered

Which best describes the transformation that occurs from
the graph of f(x) = x² to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
Oright 3, up 4

Answer :

frika

Answer:

left 3, up 4

Step-by-step explanation:

If the function [tex]y=f(x)[/tex] s translated

  • [tex]a[/tex] units to the right, then its equation is [tex]y=f(x-a);[/tex]
  • [tex]a[/tex] units to the left, then its equation is [tex]y=f(x+a);[/tex]
  • [tex]a[/tex] units up, then its equation is [tex]y=f(x)+a;[/tex]
  • [tex]a[/tex] units down, then its equation is [tex]y=f(x)-a.[/tex]

In your case, the function [tex]g(x)=(x+3)^2+4[/tex] can be obtained from the function [tex]f(x)=x^2[/tex] by translation 3 units to the left and 4 units up.

Using translation concepts, it is found that the best description of the transformation is:

left 3, up 4

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the original function is:

f(x) = x²

Then, in the domain, x -> x + 3, which means that the function was shifted left 3 units.

In the range, 4 was added, hence the function was shifted up 4 units.

More can be learned about shifting concepts at https://brainly.com/question/4521517

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