Chapter 3: Q. 7 (page 155)

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

Short Answer

Expert verified

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

Step by step solution

Step 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 ________.

Step 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:

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

Step 3. Conclusion.

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

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x	$y = f (x)$
-2	0
-1	1
0	4
1	9
2	16

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the missing term for the blank.

Step 3. Conclusion.

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the missing term for the blank.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

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