Find the Vertex of the Graph of the Quadratic Function $f ( x ) = - 2 x ^ { 2 } + 24 x - 70$

question 204

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = - 2 x ^ { 2 } + 24 x - 70$

• A) Vertex: \(( - 6,2 )\); \(x\)-intercepts: \(( - 5,0 )\) and \(( - 7,0 )\); y-intercept: \(( 0 , - 70 )\)
• B) Vertex: \(( - 2 , - 6 )\); \(x\)-intercepts: none; y-intercept: \(( 0 , - 70 )\)
• C) Vertex: \(( 6,6 )\); \(x\)-intercepts: \(( 6 \pm \sqrt { 3 } , 0 )\); y-intercept: \(( 0 , - 70 )\)
• D) Vertex: \(( 6,2 )\); \(x\)-intercepts: \(( 5,0 )\) and \(( 7,0 )\); \(y\)-intercept: \(( 0 , - 70 )\)

Understand the impact of attitudes and personality traits, such as pessimism, optimism, and hardiness, on health outcomes.

Recognize the role of stress, its definitions, and responses in health and well-being.

Identify coping strategies and their effectiveness, including emotion-focused and problem-focused strategies.

Describe the process and stages of adapting to stress and traumatic events.

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Definitions:

Conversion Costs

The combined costs of direct labor and manufacturing overhead, required to transform raw materials into finished goods.

Work in Process Inventory

The value of goods in production but not yet completed, often considered an asset on the balance sheet.

Lean Principles

A methodology originating from the Toyota Production System that seeks to maximize customer value while minimizing waste within manufacturing and related processes.

Cycle Efficiency

The effectiveness and speed with which a business completes its operational cycle from start to finish.