Option a. f(x) = sin (x - 
) - 4 is the required sine function
Step-by-step explanation:
Step 1 :
Given,
Amplitude = 1
period = 2
horizontal shift =
Vertical shift = -4
Step 2 :
The sine function's equation is as follows :
f(x) = a sin(bx + c) + d
where
a represents the amplitude
b represents the period, obtained by dividing the given period by 2
c represents the horizontal shift
d represents the vertical shift
Step 3:
So here we have,
a = 1
b = 2 / 2 = 1
c = - (assuming the wave is shifted to the right)
d= -4
Substituting the values in the sine function we get
f(x) = sin (x - ) - 4
Step 4:
Answer
option a. f(x) = sin (x - ) - 4 is the required sine function
Answer:
The answer is shown in the plotted graph attached with the answer.
Step-by-step explanation:
i) Let y = f(x)
ii) According to the first equation we will consider x = -6, -5, -4, -3, -2, -1, 0, and
1
Therefore x and y = x + 4 for -6 ≤ x < 2
- -6 -2
- -5 -1
- -4 0
- -3 1
- -2 2
- -1 3
- 0 4
- 1 5
iii) y = 6 when x = 2 is the second equation given for the graph
iv) x y = -x + 2 for x > 2 is the third equation given
I'm pretty sure that the answer is A., because if you turn the fraction into a decimal and multiply it by 24, you get 7.999992, which estimates to be 8.
Answer:
x=13
Step-by-step explanation:
2x+9=35
2x=35-9
2x=26
x=26/2
x=13
Answer:
True: B, C and D
Step-by-step explanation:
The graph of the function is shown in the attached diagram.
The vertex of the parabola (parabola is the graph of the function f(x)) is at (-3,-16), because
So, option A is false and option B is true.
As you can see from the graph, the function is increasing for all x>-3, thus option C is true.
The graph is positive for x<-7 and x>1 and negative for -7<x<1, so option D is true and option E is false.
