When f(x) is replaced with
f(x)+k, the graph that results is shown below
K=__?

k = 6

Step-by-step explanation:

Parent function of the given graph → f(x) = (x - 1)²

If the parent function is shifted 6 units up.

Equation of the translated function will be → g(x) = (x - 1)² + 6

g(x) = f(x) + 6

Therefore, k = 6 will be the answer.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

depending on others is critical to survival. my source is apex!

step-by-step explanation: