Question

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

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

Answer 1

Answer: (A), (B), (C)

$y$ increases as we move $x$ from $0\text{to}\infty$

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



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