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:
<em>Option B</em>
Step-by-step explanation:
<u>Congruent Triangles</u>
The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both triangles are congruent, then the two triangles are similar.
The triangles are congruent if the relation between LK and KN is the same as the relation between KN and MN, that is
It means that
MN=1
Option B