how does the graph of f(x)=3|x+2|+4 relate to its parent function

if parent functin is f(x)=|x|
it is moved to the left 2 units
vertically streched by a factor of 3
and moved up by 4 units in that order

because
to move a function to left c units, add c to every x
to vertically strech function by factor of c, multiply whole function by c
to move funciotn up c units, add c to whole function

so it is 2 to the left, verteically streched by a factor of 3 then moved up 4 units

Answer Link

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-04-26T17:15:15+02:00

After applying the transformation to the parent function, we will get the function f(x) = 3|x+2|

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Let's suppose the parent function is:

f(x) = |x|

If we replace the x to x+2 the function will shift left 2 units.

f(x) = |x+2|

If we multiplied by 3 the function will be stretched by the factor 3

f(x) = 3|x+2|

If we add 4 to the function it shifted up by 2 units.

f(x) = 3|x+2|+4

Thus, after applying the transformation to the parent function, we will get the function f(x) = 3|x+2|+4

Learn more about the function here:

brainly.com/question/5245372