The quadratic equation in standard form is:
[tex]y = 2x^2 - 8x + 6[/tex]
How to convert from vertex form to standard?
Here we have the quadratic equation:
[tex]y = 2*(x - 2)^2 - 2[/tex]
Here we need to expand the right side, remember:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
Using that, we get:
[tex]y = 2*(x - 2)^2 - 2 = 2*(x^2 - 4x + 4) - 2\\\\y = 2x^2 - 8x + 8 - 2\\\\y = 2x^2 - 8x + 6[/tex]
This is the quadratic equation in standard form.
If you want to learn more about quadratic equations:
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