The graph of $f ( x ) = x ^ { 2 } - 7 x + 2$ is
A) a parabola that opens upward
B) a parabola that opens downward
C) a parabola that opens to the right
D) a parabola that opens to the left

Question

Quizplus · Accepted Answer

The given function is a quadratic function in the form $f(x) = ax^2 + bx + c$, where $a$, $b$, and $c$ are constants and $a \neq 0$. For $f(x) = x^2 - 7x + 2$, $a = 1$, which is positive. Therefore, the graph of the function is a parabola that opens upward.

The Graph Of f(x)=x2−7x+2f ( x ) = x ^ { 2 } - 7 x + 2f(x)=x2−7x+2

The Graph Of $f ( x ) = x ^ { 2 } - 7 x + 2$