can u please help me answer this question and also please wr

can u please help me answer this question and also please write clearly so I can understand thank you so much also please show all steps

For the piecewise function, find the specified function value. t) fix)x for x s-1 1 -3, for x fr-1) A) 9 B) -2 D) -4 Answer the question 2) How can the graph of f(x)-(x-10)2-2 be obtained from the graph of y = x2? A) Shift it 10 units horizontally to the left. Shift it vertically 2 units downward B) Shift it 10 units horizontally to the right, Shift it vertically 2 units downward C) Shift it 2 units horizontally to the right. Shift it vertically 10 units downward D) Shift it 10 units horizontally to the lett. Shift it vertically 2 units upward. Find the trigonometric function value for the angle shown. 3) cot e 3) 10 105 A)co18\" B) cot C) cot 83 Find the domain of the function. 4) A) all real numbers, or ( D) 1x1 x-9), or (-\", 9) u (9·s) P-I

Solution

1. f(-1)

here x=-1that is <=-1

so f(-1)= 9(-1)=-9

2. f(x)= (x-10)²-2

Because of -10, graph shifts 10units right and because of -2 it shifts 2 units down

Hence the correct option is B

3. cot theta=x/y =-4/3

4.sqrt cant be negative

therefore 9-x>=0

x<=9

Option B