Secondary IV • 5mo.

It's fair to convert vertex form to general form and general form to vertex form and so I need help to change from

general form to standard form, In joint, there is an illustration.

Explanation from Alloprof

This Explanation was submitted by a member of the Alloprof team.

Hi ExtraordinaryMelon4228,

Thank you for your question!

Before starting the resolution, we need to understand the different form of quadratic functions. The general form is this one:

$$f(x)=ax^2+bx+c$$

In this problem, we want the standard form, which is this one:

$$f(x)=a(x-h)^2+k$$

To go from the general form to the standard form, we need to use this formula:

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We then have the values of h and k, we can now write the function in the standard form. You can also use the completing square technique, it's just a bit longer to do.

I hope that helps and feel free to write us again!

Anthony B.