Graph the Function $f ( x ) = 10 + 7 x + x ^ { 2 }$

question 82

Multiple Choice

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.
- $f ( x ) = 10 + 7 x + x ^ { 2 }$

• A) vertex: \(\left( - \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)\) \(\mathrm { x }\)-intercepts: \(( 2,0 )\) and \(( 5,0 )\) axis of symmetry: \(x = - \frac { 7 } { 2 }\)
• B) vertex: \(\left( \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)\) \(x\)-intercepts: \(( 2,0 )\) and \(( 5,0 )\) axis of symmetry: \(x = \frac { 7 } { 2 }\)
• C) vertex: \(\left( \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)\) x-intercepts: \(( - 2,0 )\) and \(( - 5,0 )\) axis of symmetry: \(x = \frac { 7 } { 2 }\)
• D) vertex: \(\left( - \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)\) \(x\)-intercepts: \(( - 2,0 )\) and \(( - 5,0 )\) axis of symmetry: \(x = - \frac { 7 } { 2 }\)

Comprehend the concept of opportunity cost and its relevance in economic decision-making.

Analyze the conditions under which an economy operates on its production possibilities frontier (PPF) and the significance of points within, on, and outside the PPF.

Grasp the impact of economic growth, technological development, and efficiency on an economy’s production possibilities.

Distinguish between the economic roles of entrepreneurs and their contribution to economic activities.

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