In what direction and by how many units is the graph of f(x) = −7 sin(3x + π) − 2 vertically and horizontally shifted?
1 answer:
Answer:
Option 1. Down 2, right pi over 3.
Step-by-step explanation:
In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.
As we know in a sine equation represented as y = a sin(bx+c) +d
Amplitude of the wave = a
Period =
Horizontal shift =
Vertical shift = d
From the given sine function we can get the following values
a = 7
period =
horizontal shift = in the right side since it's with positive sign.
Vertical shift = -2 down with 2 ( since it's with negative sign)
Therefore Option 1 is the correct one.
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Answer:
y = 2x +1
Step-by-step explanation:
The given line is in "slope-intercept" form, where the slope is the coefficient of x, 2, and the intercept is the added constant, 3. The parallel line will have the same slope, but its constant will be different. We can find the constant by putting the given point into an equation with the constant as the unknown:
y = 2x + b
-1 = 2(-1) +b . . . substitute for x and y
2 -1 = b . . . . . . add 2
1 = b
So the equation for the parallel line is ...
y = 2x + 1
