Write an equation for the translation of the function. y = cos x; translated 6 units up
2 answers:
Answer:
Step-by-step explanation:
We are given a cos x function. We need to find the function shift 6 units up.
Graph will shift 6 units up. So, all y value of function shift vertically up.
y=f(x)
If shift h and k horizontally and vertically respectively then y=f(x+h)+k
y=cos x
Shift h and k unit then new function
y=cos(x+h)+k <=> cos x + 6
Thus, C is correct option.
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Answer: Option D
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
If the graph of f(x) moves horizontally h units to the left
If the graph of f(x) moves horizontally h units to the right
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
The graph of g(x) is equal to the graph of f(x) reflected on the x axis
In this case we have to:
and
Therefore and
This mean that: g(x) is shifted 3 units to the left and reflected over the x-axis.
Answer: B. x = 40
Step-by-step explanation:
The angles given are supplementary.
Supplementary angles are any two angles that add to 180 degrees, most commonly seen on one side of a straight line.
As these angles are supplementary, we can solve for x by adding both angles to get 180:
This means that the angle on the left is (3*40) + 15, or 135 degrees, while the angle on the right is 45 degrees. These angles add to 180 degrees.
The correct answer choice is B.