For a quadratic polynomial $ax^2+bx+c$ with $a
eq 0$, which statement…

Question

For a quadratic polynomial $ax^2+bx+c$ with $a
eq 0$, which statement is always true about the graph of $y=ax^2+bx+c$?

Accepted Answer

B. It can cut the $x$-axis at at most two points

A quadratic graph is a parabola. It may intersect the $x$-axis at two distinct points, touch it at one point, or not meet it at all. Therefore, it can cut the $x$-axis at at most two points.

Answer

It always cuts the $x$-axis at exactly two points

Answer

It never touches the $x$-axis

Answer

It always has exactly one zero

For a quadratic polynomial $ax^2+bx+c$ with $a\neq 0$, which statement is always true about the graph of $y=ax^2+bx+c$?