The limits of a quadratic function

Question

Here is the equation of the quadratic: $\dfrac{1}{10}x^2+3x+5$

Here is the graph visually:

I was wondering what value $y$ heads towards if the $x$ value is heading towards negative infinity.

My answer: infinity

For this, I looked at the negative $x$ values, then looked at their outputs. Their outputs seemed to be heading towards infinity. Is this the correct way of approaching this problem?

Answer 1

From the graph, you can realize that as x goes toward negative infinity f(x) heading toward positive infinity. This limit is unbound or undefined.

Answer 2

general equation of a quadratic is $ax^2+bx+c$. If a>0 it is a upward parabola, and if a<0 it is a downward parabola

and coordinate of vertex of any parabola is ($\frac{-b}{2a},\frac{-d}{4a}$) so when it is a upward parabola it would have a min value when it is a downward parabola it would have a maximum value