Define a function that transforms the parent root function with a horizontal compression by a factor of 5 and a downward shift of 10 units.

Step-by-step explanation:

Compression of a function (in graph) occurs when the coefficient of the function (the number in front of ) increases from 1. e.g. 2, 3, 4, 5 etc.Expansion is when this same value is a fraction, e.g. etc.Vertical shift upwards is when there is a positive number added to the original function and vertical shift downwards is when there is a negative number added to the original function.

Parent root function is given by:

According to rules,

Compression would be achieved by multiplying the by 5. So, we would have Downward vertical shift would be achieved by adding a to the function.So,

Combining these 2 transformation gives us the function:

Answer choice A is right.