In How Many Distinct Points Does the Graph Of $y = \frac { 1 } { 2 } x ^ { 2 } - 5 x - \frac { 1 } { 4 }$

question 98

Multiple Choice

In how many distinct points does the graph of $y = \frac { 1 } { 2 } x ^ { 2 } - 5 x - \frac { 1 } { 4 }$ intersect the graph of $y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 7$ in the viewing rectangle $[ - 10,10 ]$ by $[ - 15,5 ]$ ?

• A) 0
• B) 1
• C) 2
• D) 3
• E) 4

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Definitions:

Light Waves

Electromagnetic waves within a certain portion of the electromagnetic spectrum, perceived by the human eye as light.

Proprioception

The sense of the relative position of one's own parts of the body and strength of effort being employed in movement.

Vestibular Sense

The sensory system that provides the leading contribution to the sense of balance and spatial orientation for the purpose of coordinating movement with balance.

Balanced

A state in which different elements are in the correct proportions, often used in the context of diet, lifestyle, or composition.