Question

What is the nature of the graph: $y=2x^2$

• A. parabola passing through origin
• B. Hyperbola passing through origin
• C. ellipse passing through origin
• D. Hyperbola but not passing through origin

Answer 1

The correct option is A parabola passing through origin

The parabola does not have a constant slope.In fact, as x increases by $1$ , starting with $x=0$ , $y$ increases by $1,3,5,7$,… . As $x$ decreases by $1$ , starting with $x=0$ , $y$ again increases by $1,3,5,7$,… .Thus the graph is a parabola passing through origin.