First of all, let's recall that the full circumference is
Now, since 30 is one twelfth of 360, a 30° arc will be one twelfth of the whole circumference. So, if you call the arc length A, you have
Since we know the arc length, we can build and solve the following equation:
Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:
Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.
Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
