what is y=(x+3)^2-4 in standard form

Answer 1

Hey!

I'm assuming the quadratic is written as (x+3)²-4. The first thing we need before putting this in standard form is to expand it. (You can use any method you know to square binomials - FOIL, expansion charts, etc.)

You should get x²+6x+9. Tacking on the (-4), we have:

y = x²+6x+9 -4.

The standard form for a quadratic equation is ALWAYS:

ax²+bx+c. (with a not equal to zero).

Our equation is almost there! One more step and it will be in standard form. Hope this helps!