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Select ALL the correct answers.
Consider the following graph of function f.
Which transformations will change function f into function g given below.

Select ALL the correct answers Consider the following graph of function f Which transformations will change function f into function g given below class=

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TREKKER

Answer:

2nd and 6th options

Step-by-step explanation:

y = |x+4| - 4 has a vertex of (-4, -4), and the vertex of the given graph is (3, 1). The shift between the first and second points given is 7 units to the left (6) and 5 units down (2)

varshamittal029

The transformation that will change from f to g will be

  • the verical shift down 5 units
  • the horizontal shift left 7 units

What is corner of a function?

Corner point of a function is the point where continuous function will not be differentiable.

here the function in the graph has the corner point at (3,1).

so now we have to transform the function f to function g where

g(x)= |x+4|-4

in the function g(x) the corner point will be the point where the value changes sudddenly.

so the corner point will be x+4=0

⇒x=-4

at x=-4, the value of the g(x)=|-4+4|-4=-4

so the corner point of function g will be (-4,-4).

Now the corner point of function f is (3,1).

Therefore to trnsform function f to g we have to first displace (3,1) to (-4,-4).

in x direction the displacement will be = -4-3 =-7 i.e.  horizontal shift left 7 units

in y direction the displacement will be =-4-1=-5 i.e. verical shift down 5 units

Therefore the transformation that will change from f to g will be

  • the verical shift down 5 units
  • the horizontal shift left 7 units

Learn more about corner point

here: https://brainly.com/question/12977428

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