How does the graph of f(x) = 3|x+2|+4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been stretched.
C. The parent function has been compressed.
D. The parent function has been translated up.

Answers

Answer 1

Answer:

If the parent function is f(x)=|x+2|+4 and it is moved to the left 2 units vertically stretched 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 stretch function by a factor of c, multiply the whole function by c to move function up c units, add c to the whole function so it is 2 to the left, vertically stretched by a factor of 3 then moved up 4 units.

Answer 2

The points relates to parent function are:

The parent function was translated upward. The parent function was moved to the left. The parent function has been overburdened.

What is a parent function?

In mathematics, a parent function is the simplest function in a family of functions that maintains the definition of the entire family.

In graphing, the parent function is the basic equation where the graph is not transformed. A straight line, for example, has a parent function of y=x. The equations from such transformations will still be part of the family of lines if this graph is translated, reflected, rotated, or dilated.

The graph depicts the function f(x) - 3|x+2|+4.

The parent function was translated upward.

The parent function was moved to the left.

The parent function has been overburdened.

Learn more about Transformation here:

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How Does The Graph Of F(x) = 3|x+2|+4 Relate To Its Parent Function?A. The Parent Function Has Been Translated

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