Lines k and n are perpendicular
The slope of line k is -6
Fact: The product of slopes of two perpendicular lines = -1
So the slope of line n = -1 ÷ -6 = 1/6
The correct choice is 'D.'
Answer:
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Step-by-step explanation:
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C) ![f(x-3)+1](https://tex.z-dn.net/?f=f%28x-3%29%2B1)
G) ![f(x-5)](https://tex.z-dn.net/?f=f%28x-5%29)
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If
the function shifts
units to the left.
If
the function shifts
units to the right.
Vertical shift:
If
the function shifts
units to the up.
If
the function shifts
units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A) ![f(x+2)-7](https://tex.z-dn.net/?f=f%28x%2B2%29-7)
Translation: ![f(x)\rightarrow f(x+2)-7](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x%2B2%29-7)
The translation shows a shift of 2 units to the left and 7 units down.
B) ![f(x)-3](https://tex.z-dn.net/?f=f%28x%29-3)
Translation: ![f(x)\rightarrow f(x)-3](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x%29-3)
The translation shows a shift of 3 units down.
C) ![f(x-3)+1](https://tex.z-dn.net/?f=f%28x-3%29%2B1)
Translation: ![f(x)\rightarrow f(x-3)+1](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x-3%29%2B1)
The translation shows a shift of 3 units to the right and 1 units up.
D) ![f(x)+4](https://tex.z-dn.net/?f=f%28x%29%2B4)
Translation: ![f(x)\rightarrow f(x)+4](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x%29%2B4)
The translation shows a shift of 4 units up.
F) ![f(x+6)](https://tex.z-dn.net/?f=f%28x%2B6%29)
Translation: ![f(x)\rightarrow f(x+6)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x%2B6%29)
The translation shows a shift of 6 units to the left.
G) ![f(x-5)](https://tex.z-dn.net/?f=f%28x-5%29)
Translation: ![f(x)\rightarrow f(x-5)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x-5%29)
The translation shows a shift of 5 units to the right.
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