We have been given a quadratic function  and we need to restrict the domain such that it becomes a one to one function.
 and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is  .
.
If we restrict the domain of this function to either ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D) or
 or  , it will become one to one function.
, it will become one to one function.
Let us know find its inverse.

Upon interchanging x and y, we get:

Let us now solve this function for y.

Hence, the inverse function would be  if we restrict the domain of original function to
 if we restrict the domain of original function to  and the inverse function would be
 and the inverse function would be  if we restrict the domain to
 if we restrict the domain to ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D) .
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Bsnndnsndndnndndndndndndndn
        
             
        
        
        
Answer:
(-1,1)
Step-by-step explanation:
 
        
                    
             
        
        
        
The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.
So, we can make the equation  . We need to find b, and put b in.
. We need to find b, and put b in.
To find b, put in the numbers of y and x.

Solve for b:

Now replace b in the original equation with 12 and that will be the answer:
The answer is  .
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Answer:
A.
Step-by-step explanation:
Rotation is a transformation that turns a figure about a fixed point. An object and its rotation image are the same shape and size, but the figures may be turned in different directions. So, rotation gives us two congruent pentagons.
Dilation is a transformation that produces an image that is the same shape as the original (similar to original), but is a different size. So, dilation gives us two similar pentagons.
A sequence of rotation and dilation produces pentagon that is similar to the initial, but not congruent.
In attached diagram you can see the pictorial representation:
- pentagon FGHIJ is the rotation image of pentagon ABCDE
- pentagon KLMNO is dilation image of pentagon FGHIJ