Question

Select the correct statement(s) for the expression $y=-x^2.$

• A. $y$ decreases as we move from $-\infty \text{to}0$
• B. $y$ increases as we move from $0\text{to}\infty$
• C. $y$ increases as we move from $-\infty \text{to}0$
• D. $y=0$ at $x=0$

Answer 1

Answer: (A), (C), (D)

$y=0$ at $x=0$

Graph of $y=-x^2$ lies below the $x$-axis, and is symmetric about $y$-axis as shown below.



As we can see, the values of $y$ decreases as the values of $x$ increases for positive real values of $x$.
And the values of $y$ increases as the values of $x$ increases in negative real values of $x$.
Also, if we put $x=0$
we get, $y=(0{)}^2=0$