The parent function f(x) = x2 is translated such that the function g(x) = –x2 + 6x – 5 represents the new function. what is true about the transformation that was performed?

1. Translation 3 units to the right;

2. Reflection across the x-axis;

3. Translation 4 units up.

Step-by-step explanation:

First, rewrite the function in following way:

Apply such transformations:

1. Translate the graph of the parent function 3 units to the right to get the graph of the function

2. Reflect the graph of the function across the x-axis to get the graph of the function

3. Translate the graph of the function 4 units up to get the graph of the function

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet