Find the x and y Intercepts y = square root of 9-x^2

Problem

y=√(,9−x2)

Solution

1. Find the y-intercept by setting x=0 in the equation.

y=√(,9−(0)2)

y=√(,9)

y=3

2. Find the x-intercepts by setting y=0 and solving for x

0=√(,9−x2)

3. Square both sides of the equation to eliminate the radical.

0=(√(,9−x2))2

0=9−x2

4. Isolate the variable x2 by adding it to both sides.

x2=9

5. Take the square root of both sides, remembering to include both the positive and negative roots.

x=±√(,9)

x=3,−3

Final Answer

x-intercepts: *(3,0),(−3,0); y-intercept: *(0,3)

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