What is the equation of this circle in general form? x2+y2−6x−16=0 x2+y2+6x−16=0 x2+y2−6x+4=0 x² + y² + 6x + 4 = 0

x² + y² - 6x - 16 = 0

Step-by-step explanation:

From the graph, the center point is (3, 0) and the radius is 5 so the standard equation is (x - 3)² + y² = 25. Let's turn this into general form now:

x² - 6x + 9 + y² = 25

x² + y² - 6x - 16 = 0

Step-by-step explanation:

Center = (a,b) = (3,0)

So, a = 3 and b = 0

Radius = 5

Now the equation of circle is given by:

=>

Putting the values, we'll have

=>

=>

=>

So, This is the required generalized form

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

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step-by-step explanation:

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