Match the Graph with Its Function Using the X-Intercepts $y = 2 ( x - 3 ) ^ { 2 } - 3 ( x - 3 ) - 5$

question 66

Multiple Choice

Match the graph with its function using the x-intercepts.
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• A) \(y = 2 ( x - 3 ) ^ { 2 } - 3 ( x - 3 ) - 5\)
• B) \(y = 2 ( x - 3 ) ^ { 2 } + 3 ( x - 3 ) - 5\)
• C) \(y = 2 ( x + 3 ) ^ { 2 } - 3 ( x + 3 ) - 5\)
• D) \(y = 2 ( x + 3 ) ^ { 2 } + 3 ( x + 3 ) - 5\)

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Definitions:

Financial Break-Even

Financial break-even is the point at which total revenues exactly cover total costs, leaving the business with neither profit nor loss, focusing on financial stability.

Initial Investment

The amount of money used to start a project, purchase an asset, or invest in a financial instrument, marking the beginning of the investment’s lifecycle.

Depreciation

The process of allocating the cost of a tangible asset over its useful life, representing how much of the asset's value has been used up over time.

Cash Break-Even

The point at which a business's cash inflows exactly match its cash outflows, exclusive of financing, indicating no net cash gain or loss.