Describe the Transformations and Give the Equation for the Graph $f ( x ) = \sqrt { x }$

question 434

Multiple Choice

Describe the transformations and give the equation for the graph.
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• A) It is the graph of \(f ( x ) = \sqrt { x }\) translated 8 units to the left and translated 5 units up. The equation is \(y =\) \(\sqrt { x - 8 } - 5\)
• B) It is the graph of \(f ( x ) = \sqrt { x }\) translated 8 units to the left and translated 5 units up. The equation is \(y =\) \(\sqrt { x - 8 } + 5\)
• C) It is the graph of \(f ( x ) = \sqrt { x }\) translated 8 units to the left and translated 5 units up. The equation is \(y =\) \(\sqrt { x + 8 } + 5\)
• D) It is the graph of \(f ( x ) = \sqrt { x }\) translated 8 units to the left and translated 5 units up. The equation is \(y =\) \(\sqrt { x + 8 } - 5\)

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Definitions:

Interest Method

A financial calculation used to determine the amount of interest due or earned over a specific period of time, considering factors like principal, rate, and time.

Annuity

An investment vehicle that provides a consistent series of payments to a person, mainly serving as a source of income for those who have retired.

Compound Interest

Interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Present Value

The assessed present-day value of money to be received in the future or a pattern of cash inflows, factoring in an established rate of return.