If f(x) = |x| and g(x) = |x| − 4, which transformation is applied to f(x) to get g(x)? a vertical transformation of f(x) four units upward a horizontal transformation of f(x) four units to the left a horizontal transformation of f(x) four units to the right a vertical transformation of f(x) four units downward

The correct option is D. A vertical transformation of f(x) four units downward    

Step-by-step explanation:

The function f(x) = |x| and the function g(x) = |x| - 4

A). A vertical transformation of f(x) four units upward :

f(x) = f(x) + 4

⇒ f(x) = |x| + 4 ≠ g(x)

B). A horizontal transformation of f(x) four units to the left

f(x) = f(x + 4)

⇒ f(x) = |x + 4| ≠ g(x)

C). A horizontal transformation of f(x) four units to the right

f(x) = f(x - 4)

⇒ f(x) = |x - 4| ≠ g(x)

D). A vertical transformation of f(x) four units downward

f(x) = f(x) - 4

⇒ f(x) = |x| - 4 = g(x)

Therefore, The correct option is D. A vertical transformation of f(x) four units downward

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

hdjd

step-by-step explanation: