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

Question

Quizplus · Accepted Answer

The equation $y = -x^2$ describes a parabola opening downwards with its vertex at the origin $(0,0)$. For any positive or negative value of $x$, $y$ will be negative (since squaring $x$ gives a positive result, and the negative sign in front makes $y$ negative). The points in option D correctly follow this pattern, showing symmetry around the y-axis and correct values according to the equation.

Choose the Correct Set of Points That Prepares the Graph y=−x2y = - x ^ { 2 }y=−x2

Choose the Correct Set of Points That Prepares the Graph $y = - x ^ { 2 }$