Question

Use the Radius slider and click and drag the labeled center point to graph the circle (x+3)² + (y + 4)² = 25. Find the x and y intercepts.

Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed.
Click here to launch the interactive figure.
The intercepts are
(Type ordered pairs. Type each answer only once. Use a comma to separate answers as needed.)

Answer 1

center (-3, -4); radius 5. See attached for intercepts.

Explanation:

The clicking and dragging is not possible. However, we can plot the equation and tell you the center and radius of the circle, and its intercepts with the axes.

Center and radius

The standard form equation of a circle is ...

(x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r

Comparing this to the given equation ...

(x +3)² +(y +4)² = 25

we see that (h, k) = (-3, -4) and r = 5.

The center point is (-3, -4), and the radius is 5.

Intercepts

The graphing application tells you the intercepts.

The x-intercepts are where the curve crosses the x-axis. They are ...

(-6, 0), (0, 0) . . . . . x-intercepts

The y-intercepts are where the curve crosses the y-axis. They are ...

(0, 0), (0, -8) . . . . . y-intercepts