Write an equation of the line that passes through the given point P and
1 answer:
Answer <u>(assuming it can be in point-slope form)</u>:
Step-by-step explanation:
Use the point-slope formula , to write the equation of the line in point-slope form. Substitute x and y values for
,
, and
in the formula.
Since represents the slope, substitute 3 for it. Since
and
represent the x and y values of a point the line intersects, take the x and y values of point P and substitute them into the equation as well. Substitute -2 for
and 4 for
. This gives the following answer:
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Thus, our function will be of the form:
Maximum Value = 10
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So, amplitude of the function is 7
Thus, the function will be of the form:
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Thus the equation of the sinusoidal function becomes:
Period of parent sine function is 2π.
This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2
Thus, our function will be of the form:
Maximum Value = 10
Minimum Value = -4
Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7
Thus, the function will be of the form:
The function has a y-intercept other than zero, this means the function will be of the form:
The y-intercept is 3. This means for x=0, y=3. Using the values, we get:
Thus the equation of the sinusoidal function becomes:
Answer:
C.
Step-by-step explanation:
First, isolate the y:
First, since there is no "equal to", we can ignore B and D since their lines are shaded.
Since the y is greater than, we need to pick the graph that is shaded above the line.
The answer is C as the shaded portion is above the graph and the graph is dotted.