Brainliestt asap!me : )

for f(x) = 2|x+3| – 5, name the type of function and describe each of the three transformations from the parent function f(x) = |x|.
explain your answer and show your work.

Absolute value function

3 units left, stretched by a factor of 2, 5 units down

Step-by-step explanation:

The function is an absolute value because of the divider symbols |x| around the "x" which denote that "x" cannot be a negative number.

Transformations:

From the parent function f(x) = |x| the graph is translated 3 units to the left, stretched by a factor of 2, and translated down 5 units.

The absolute value function is in the form f(x) = a(x - d) + c.

"a" is the stretch or compression factor. A fraction less than 1 indicates a compression and a number greater than 1 indicates a stretch from the parent.

"d" is the translation left or right. Notice the equation says "- d" as opposed to "+ d". The graph moves left, towards the negative values when the equation says "+". The graph moves right, towards the positive values when the equation says "-".

"c" is the translation up or down. A positive "c" means up and a negative "c" means down.

Inside the dividers (these symbols ||), it says x + 3. This indicates the graph shifts 3 units to the left because the d-value is positive 3.

The c value, -5, indicates the graph shifted 5 units down.

The a-value, 2, indicates a stretch of 2.

Absolute Value Function

Step-by-step explanation:

In the Absolute Value Function [y = a|x - h| + k], −h gives the OPPOSITE terms of what they really are, so do not forget it. Here is the three-transformative information:

k - Vertical Shift [NORMAL TERM]

h - Phase Shift [OPPOSITE TERM and Horisontal Shift]

a - Opens down or up and determines a vertical shrink or vertical stretch

* Since a is a whole-numbered integer [2], it will be a vertical stretch.

** [h, k] → vertex

I am joyous to assist you anytime.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.