The parent function of a graph is f(x) = x2. the graph shifts a units to the left and down b units. which function models the transformed function? a) y = x2 - a + b b) y = (x - a)2 - b c) y = (x + a)2 - b d) y = (x - b)2 - a

Option c

Step-by-step explanation:

A parent function is given by f(x) = x²

If the graph of the parent quadratic function is shifted a units to the left then new function will become

f'(x) = (x+a)²

Now the new function f'(n) is shifted b units down then the shifted function will be

f" (x) = (x + a)² - b

Therefore, Option c. is the answer.

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