Chapter 9: Q5. (page 566)

Consider $y = x^{2} - 5 x + 4$
Write the equation of the axis of symmetry.

Short Answer

Expert verified

The equation of the axis of symmetry for the given function is, $x = \frac{5}{2}$ .

Step by step solution

Step 1. Define the standard form of the quadratic function.

A quadratic function, which is written in the form, $y = a x^{2} + b x + c$ , where, $a \neq 0$ is called the standard form of the quadratic function.

Step 2. Write the axis of symmetry for the function y=ax2+bx+c.

The axis of symmetry for the function $y = a x^{2} + b x + c$ is

$x = - \frac{b}{2 a}$

Step 3. Write the equation of the axis of symmetry for the function y=x2−5x+4.

Compare the quadratic function, $y = x^{2} - 5 x + 4$ with the standard equation of the quadratic function, $y = a x^{2} + b x + c$ .

$a = 1, b = - 5, c = 4$

Substitute, $a = 1$ and $b = - 5$ in $x = - \frac{b}{2 a}$

$x = - \frac{(- 5)}{2 (1)} x = \frac{5}{2}$

Therefore, the equation of the axis of symmetry for the given function is, $x = \frac{5}{2}$ .

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Consider $y = x^{2} - 5 x + 4$
Write the equation of the axis of symmetry.

Short Answer

Step by step solution

Step 1. Define the standard form of the quadratic function.

Step 2. Write the axis of symmetry for the function y=ax2+bx+c.

Step 3. Write the equation of the axis of symmetry for the function y=x2−5x+4.

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Considery=x2−5x+4Write the equation of the axis of symmetry.

Short Answer

Step by step solution

Step 1. Define the standard form of the quadratic function.

Step 2. Write the axis of symmetry for the function y=ax2+bx+c.

Step 3. Write the equation of the axis of symmetry for the function y=x2−5x+4.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Discrete Mathematics

Geometry

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

Consider $y = x^{2} - 5 x + 4$
Write the equation of the axis of symmetry.