Answer: Option a.
Step-by-step explanation:
The parent function is the simplest form of the function.
Therefore, if you have the parent function given in the problem:

and you make f(x)+3, then the function will be translated up 3 units.
Then, you obtain:

Therefore the answer is the option a.
Answer:
f(x) = x⁴ - 8x³ + 25x² - 72x + 144
Step-by-step explanation:
f(x) = (x-4)²(x+3i)(x-3i)
= (x²-8x+16)(x²+9)
= x⁴ - 8x³ + 25x² - 72x + 144
Given point (2,8) and slope, we can use slope intercept form.
y-y1=m(x-x1)
y-8=-2(x-2)
y-8=-2x+4
y=-2x+12
Where, y=mx+b, b is the y intercept.
In this case, the intercept is 12.
Answer:
Ans: 1/12
Step-by-step explanation:
No. of events:4+4+1+3=12
Let the no. of events be E
Let the no. of packs of gum be P1
Prob. of choosing a pack of gum=P1/E
Probability=1/12