Identify the Vertex and Focus of the Parabola $y = \frac { 1 } { 6 } x ^ { 2 }$

question 60

Multiple Choice

Identify the vertex and focus of the parabola $y = \frac { 1 } { 6 } x ^ { 2 }$ .

• A)vertex: (0,0) focus: \(\left( \frac { 3 } { 2 } , 0 \right)\)
• B)vertex: (0,0) focus: \(\left( 0 , \frac { 2 } { 3 } \right)\)
• C)vertex: (0,0) focus: \(\left( 0 , \frac { 3 } { 2 } \right)\)
• D)vertex: (0,0) focus: \(\left( 0 , \frac { 1 } { 24 } \right)\)
• E)vertex: (0,0) focus: \(\left( \frac { 2 } { 3 } , 0 \right)\)

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Definitions:

Pattern

A recognizable arrangement or sequence in data, objects, or actions, often repeating in a predictable manner.

Closure

The psychological process of seeking a sense of completeness or resolution to a matter that leaves one with uncertainty, often related to relationships, tasks, or understanding.

Figures

Numerical data presented in graphical or tabular form.

Size Constancy

A perceptual phenomenon where the perceived size of an object remains constant despite changes in the size of its retinal image due to changes in distance.