# The statement “To put the quadratic function f ( x ) = a x 2 + b x + c in standard form, we complete the ________________”.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 3.1, Problem 1E
To determine

## To fill: The statement “To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________”.

Expert Solution

To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the square.

### Explanation of Solution

A quadratic function is a polynomial function of degree 2. So, a quadratic function is a function of the form f(x)=ax2+bx+c,a0 .

From the definition of standard form of a quadratic equation, a quadratic function f(x)=ax2+bx+c can be expressed in the standard form f(x)=a(xh)2+k by using the completing the square method.

Hence, to put the quadratic function f(x)=ax2+bx+c in standard form, we complete the square.

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