write the equation in standard form for a circle with center (-7,4) and tangent to the x-axis

Question

i need to figure this out

Answer 1

If the center is at (-7,4) and it is tangent to the x-axis, then its radius must be 4, because the center of the circle is located 4 units above the x-axis.  You may want to draw this to better visualize the situation.

 

(x - h)² + (y - k)² = r²

 

h = -7

k = 4

r = 4

 

(x + 7)² + (y - 4)² = 16