jmc

Question

The equation of the ellipse shown below can be written as (x - h)^2a^2 + (y - k)^2b^2 = 1.Find h + k + a + b. FIGURE

Accepted Answer

We see that the center of the ellipse is (-4,2), the semi-major axis is 5, and the semi-minor axis is 3, so h + k + a + b = (-4) + 2 + 5 + 3 = 6.