Center (9, -10) and* r* = 5

If you said

Looks like we have all the information we need. We are ready to put our equation together.

**What value are we going to replace h with?**

If you said 9, you are correct!!!

**What value are we going to replace k with?**

If you said -10, you are right on!!!

**What value are we going to replace r with?**

If you said 5, give yourself a pat on the back!!!

**Putting it into standard form we get:**

Center (2, 0) and

If you said

Looks like we have all the information we need. We are ready to put our equation together.

**What value are we going to replace h with?**

If you said 2, you are correct!!!

**What value are we going to replace k with?**

If you said 0, you are right on!!!

**What value are we going to replace r with?**

If you said , give yourself a pat on the back!!!

**Putting it into standard form we get:**

Generally, when you have an expression where you are subtracting 0,
you can simplify it by not writing the - 0. Going from line 2 to
3 above, I simplified the expression* y* - 0
by writing it in the equivalent form, .

The equation is already in standard form.

***4 is 2 squared**

**So in line 2 above, I rewrote the equation
to show what numbers we were actually subtracting on the left side of the
equation. **

**On the right side of the equation I showed
what number was being squared. This is to help you see how we get
the center ( h, k)
and the radius (r).**

**Make sure that you are careful when one of
your values is negative and you have to subtract it as we did in line 2. y - (-5) is not the same as y -
5.**

**What value is h?**

If you said 0, you are correct!!! Since there is no value being subtracted from

**What value is k?**

If you said -5, you are right on!!!

**What value is r?**

If you said 2, give yourself a pat on the back!!! Since 2 is the number being squared on the right side of the standard form of our equation, that is the value of

**The center is (0, -5) and the radius is 2.**

The coefficients on the and terms are both
already 1.

**Completing the square for y (as shown
above):**

***25 is 5 squared**

**So in line 2 above, I rewrote the equation
to show what numbers we were actually subtracting on the left side of the
equation. **

**On the right side of the equation I showed
what number was being squared. This is to help you see how we get
the center ( h, k)
and the radius (r).**

**Make sure that you are careful when one of
your values is negative and you have to subtract it as we did in line 2. y - (-7) is not the same as y - 7.**

**What value is h?**

If you said 3, you are correct!!! Since 3 is the value being subtracted from

**What value is k?**

If you said -7, you are right on!!!

**What value is r?**

If you said 5, give yourself a pat on the back!!! Since 5 is the number being squared on the right side of the standard form of our equation, that is the value of

**The center is (3, -7) and the radius is 5.**

Last revised on Feb. 26, 2010 by Kim Seward.

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