The x-coordinate of the vertex of f(x)=ax2+bx+c,a≠0, is ________.

The x-coordinate of the vertex of f(x)=ax2+bx+c,a≠0, is -b2a.

Q. 7 - Precalculus Enhanced with Graphing Utilities

The $x$ -coordinate of the vertex of $f (x) = a x^{2} + b x + c, a \neq 0$ , is ________.

Verified

Answer

The $x$ -coordinate of the vertex of $f (x) = a x^{2} + b x + c, a \neq 0$ , is $- \frac{b}{2 a}$ .

1Step 1. Given information.

The given statement is:

The $x$ -coordinate of the vertex of $f (x) = a x^{2} + b x + c, a \neq 0$ , is ________.

2Step 2. Determine the missing term for the blank.

The vertex of a quadratic function $f (x) = a x^{2} + b x + c, a \neq 0$ is:

$V e r t e x = (- \frac{b}{2 a}, f (- \frac{b}{2 a}))$

3Step 3. Conclusion.

The $x$ -coordinate of the vertex of $f (x) = a x^{2} + b x + c, a \neq 0$ , is $- \frac{b}{2 a}$ .