Write an equation for the function that is described by the following characteristics. The shape of , but moved five units down, four units to the left, and then reflected in the x-axis.

Question

Write an equation for the function that is described by the following characteristics. The shape of  , but moved five units down, four units to the left, and then reflected in the x-axis.

Quizplus · Accepted Answer

The equation for the given function can be written as: 
y = -11 * sqrt(9 - (x+4)^2) - 5
To reflect this in the x-axis, we need to negate the entire equation. So, 
y = -[-11 * sqrt(9 - (x+4)^2) - 5]
Simplifying, 
y = 11 * sqrt(9 - (x+4)^2) + 5
This matches option C.

Write an Equation for the Function That Is Described by the Following