31.08...........................
The graphed trigonometric function is the one in option a.
<h3>Which is the equation of the graph?</h3>
The key parts that we can see on the graph are:
From this we know that the correct option is either a or b.
Now we can evaluate options a and b in x = 0 and see which one is equal to zero.
for a:
y = sin(0 - pi/2) + 1 = sin(-pi/2) + 1 = -1 + 1 = 0
for b:
y = cos(0 + pi/2) + 1 = 0 + 1 = 1
Then we can see that option a is the correct option.
If you want to learn more about trigonometric functions:
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1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.
That helps you to conclude:
a) The graph of f(x) has a vertex on (-4, -6)
b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.
c) The graph of f(x) opens downward
d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)
Answer: the graph of f(x) is horizontally stretched.
Answer:
Step-by-step explanation:
The common factor is the largest number that goes into both of those numbers evenly. We do this by finding the prime factorization of each:
25: 5,5
35: 5,7
The common number to both is 5, so 5 is the common factor of both the numerator and denominator.
Answer: y=-2x+7
Step-by-step explanation:
First we need to find the slope. We can do this by appling the formula (y2-y1)/(x2-x1).
(3-(-1))/(2-4)=4/-2=-2
Now that we have the slope, we can use the slope and a coordinate point and plug it into point-slope form.
y-3=-2(x-2)
y-3=-2x+4 Isolate y for slope-intercept form.
y=-2x+7