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Details for problem "Quadratic formula: Complete square to determine vertex"

Quickname: 9004

Suitable for K-12 grades: Grade 9 Grade 10

Junior High School, High School, Senior High School.

Summary

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

Examples

To determine the vertex of a square function, convert it to vertex form by completing the square. (Example for this math problem) To determine the vertex of a square function, convert it to vertex form by completing the square. (Example for this math problem) To determine the vertex of a square function, convert it to vertex form by completing the square. (Example for this math problem)

Description

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

  1. Factor out the guide coefficient
  2. Complete the square
  3. Introduce the square
  4. Multiply out
  5. Write the quadratic function in vertex form
  6. 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.


Topics: Analysis Functions

Tags: Polynom Quadratic functions Terms

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Customization options for this problem

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

Similar problems

Remark
Description
Name and direct link
Complete the square to solve the equation
To solve a quadratic equation, complete the square.


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