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Chapter 9: Q5. (page 566)

Considery=x2鈭�5x+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=52.

Step by step solution

01

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

A quadratic function, which is written in the form, y=ax2+bx+c, where, a鈮�0 is called the standard form of the quadratic function.

02

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

The axis of symmetry for the function y=ax2+bx+cis

x=鈭�b2a

03

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

Compare the quadratic function, y=x2鈭�5x+4with the standard equation of the quadratic function, y=ax2+bx+c.

a=1,鈥�b=鈭�5,鈥�c=4

Substitute, a=1and b=鈭�5in x=鈭�b2a

x=鈭�鈭�521x=52

Therefore, the equation of the axis of symmetry for the given function is, x=52.

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