The equation below describes a parabola. if a is positive, which way does the parabola open?

y = ax2
a. left
b. down
c. up
d. right

we know that

the equation

describe a vertical parabola with vertex at point

if   -------> the parabola open Up and the vertex is a minimum

if   -------> the parabola open Down and the vertex is a maximum

in this problem we have

---> because is positive (given problem)

so

The vertex is a minimum

therefore

the answer is the option C

Up