Quickname: 9004

Suitable for K-12 grades: Grade 9 Grade 10

Junior High School, High School, Senior High School.

To determine the vertex of a square function, convert it to vertex form by completing the square.

The vertex of a quadratic formula is to be determined by transforming the function into vertex form. To do this, complete the square.

If desired, the solution is described in the solution sheet in the steps

- factor out the guide coefficient

- complete the square

- introduce the square

- multiply out

- write the quadratic function in vertex form

- state the vertex

is presented in detail. These steps can be presented in the problem statement as cloze text, the correct values must then be entered.

In the problem definition the vertex of a quadratic function is asked for. It can be set whether the solution path via the quadratic addition should also be indicated.

For simplification, the problem can be set so that the guide coefficient, i.e. the factor for x squared, is always one.

The number of problems can also be set.

Tags: Polynom Quadratic functions Terms

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Parameter

Possible values

Number of problems

1, 2, 3, 4, 5, 6

Mention completion of square

Yes, No

Indicate steps

no, with solution, with problem&solution

Lead coefficient (x^2) >1

Yes, No

Remark

Description

Name and direct link

Complete the square to solve the equation

To solve a quadratic equation, complete the square.

You may pass on the worksheets offered for download on this page to others, but not modify or sell them.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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