Question

Find the standard form of the equation for the circle with the following properties.



Center (−4,−3/2) and tangent to the x-axis

Answer 1

Answer:

• (x + 4)² + (y + 1.5)² = 2,25

Step-by-step explanation:

The standard form is:

• (x - h)² + (y - k)² = r²

We have (h, k) = (-4, -3/2) and the circle is tangent to the x- axis.

The radius will then be a distance from the center to the x-axis, which is the absolute value of the y- coordinate of the center:

• r = | - 3/2| = 3/2 = 1.5

The equation is:

• (x - (-4))² + (y - (-1.5))² = 1.5²
• (x + 4)² + (y + 1.5)² = 2,25