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: \(x = - \frac { 7 } { 2 }\)

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Definitions:

Classical Conditioning

The method of acquiring a response through the repetitive coupling of two stimuli; initially, the second stimulus triggers the response, but the first stimulus eventually triggers it alone.

Rescorla

Associated with the Rescorla-Wagner model of classical conditioning, focusing on the strength of associations between conditioned and unconditioned stimuli.

Phobias

Intense, irrational fears of specific objects, activities, or situations that lead to a desire to avoid them.

Classical Conditioning

The practice of learning by frequently pairing two stimuli together; a response first provoked by the second stimulus is later provoked by the first stimulus without the second.