Question

Hi can someone help me here​(complete solution) & (sketch graph) thankyou​

Answer 1

• (x - 5)² + (y + 1)² = 25

Explanation:

Equation of a circle:

• (x - h)² + (y - k)² = r², where (h, k) is its center and r- radius

Given

• The center is at (5, - 1),
• The circle is tangent to the y-axis.

Solution

Plug in the values of (h, k) a h = 5 and k = - 1:

• (x - 5)² + (y - (-1))² = r²
• (x - 5)² + (y + 1)² = r²

Find the radius r

Recall the x-coordinate of the center is the distance from the y-axis, so this is the radius:

• r = 5

Plug in the value of r:

• (x - 5)² + (y + 1)² = 5²
• (x - 5)² + (y + 1)² = 25