Answer:
B'(-5,-6)
Step-by-step explanation:
The mapping for 180° clockwise rotation about the origin is:

The find the image of B(5,6), we plug in x=5 and y=6 into the rule.

Therefore the coordinates of B' are (-5,-6).
Answer:

Step-by-step explanation:
Given:
The quadratic function is given as:

The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now,
can be rewritten as:

Therefore, the standard form of the function is:

1 1/8 = g - 4 2/5
9/8 = g - 22/5
9/8 + 22/5 = g
45/40 + 176/40 = g
221/40 = g
5 21/40 = g
Answer:
Step-by-step explanation:
First=4
Second=1 time
Third=3 turning points
C/4 - 2c = 5/4 - c/2......multiply everything by 4
c - 8c = 5 - 2c
-7c = 5 - 2c
-7c + 2c = 5
-5c = 5
c = -5/5 = -1