Choose the correct set of points that prepares the graph of the equation $$y = \frac { 1 } { 4 } x ^ { 2 }$$ .
A) $( 0,0 ) , ( 2,1 ) , ( - 2 , - 1 ) , ( 4,4 ) , ( - 4 , - 4 )$
B) $( 0,0 ) , ( 2,1 ) , ( - 2,1 ) , ( 4,4 ) , ( - 4,4 )$
C) $( 0,0 ) , ( 2,4 ) , ( - 2 , - 4 ) , ( 4,16 ) , ( - 4 , - 16 )$
D) $( 0,0 ) , ( 2,4 ) , ( - 2,4 ) , ( 4,16 ) , ( - 4,16 )$
E) $( 0,0 ) , ( 1,4 ) , ( 2,8 ) , ( - 1,4 ) , ( - 2,8 )$

Question

Quizplus · Accepted Answer

- When x = 0, y = 0 which gives us point (0,0). 
- When x = 2, y = 1, which gives us point (2,1). 
- When x = -2, y = 1, which gives us point (-2,1). 
- When x = 4, y = 4, which gives us point (4,4). 
- When x = -4, y = 4, which gives us point (-4,4).

Note that the vertex of the parabola is at (0,0) and its axis of symmetry is the y-axis. Therefore, the points on both sides of the y-axis must have the same y-coordinates. Option B is the only one that satisfies this condition.

Choose the Correct Set of Points That Prepares the Graph y=14x2y = \frac { 1 } { 4 } x ^ { 2 }y=41​x2

Choose the Correct Set of Points That Prepares the Graph $y = \frac { 1 } { 4 } x ^ { 2 }$