Question

The graph of an equation is given above. Which of the following statements is true about the graph?

• A. The graph in symmetric about x-axis
• B. The graph in symmetric about y-axis
• C. Sum of x-intercept and y-intercept is greater than zero
• D. The polynomial has 3 terms

Answer 1

The correct option is B The graph in symmetric about y-axis

At $x=1,y=1=1^2$

At $x=-1,y=1=(-1{)}^2$

At $x=2,y=4=(2{)}^2$

At $x=-2,y=4=(-2{)}^2$

So, this is the graph of the function $y=x^2$ which is quadratic in nature.

The graph is symmetric about y-axis because it is an even function as it satisfies $f\left(x\right)=f(-x)$.