<span>In Geometry, a translation is a function where an object is moved a certain distance. This means that the location of the line is changed, but it is not changed in any other way. This means, that if the line was originally 5 units, it will still be 5 units long.</span>
Answer:
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: π
Phase Shift: 0 (
0 to the right)
Vertical Shift: 1
You can see that the term 
appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have
Now that we know the value of 
, we can substitute in any of the equation to deduce the value of 
: if we use the first equation, for example, we have
Let's break this up:
let x = the number
"when I triple my number" is the same as
3x
"and add five" is the same as
+5
We combine it to get
3x+5
"I get twenty-six"
=26
combine to get
3x+5=26
Now we just solve:
subtract 5 from both sides to get
3x=21
divide by 3 to get
x=7
9514 1404 393
Answer:
graph: lower right
π units to the right of the graph of f(x)
Step-by-step explanation:
The transformation of f(x) to f(x-h) is a translation to the right by h units.
Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.
The graph of the translated function is shown below.
