SOLUTION: write an equation in standard form for the ellipse. Tangent to the x-axis at (9,0) and tangent to the y-axis at (0,-6)

Algebra.Com
Question 919864: write an equation in standard form for the ellipse.
Tangent to the x-axis at (9,0) and tangent to the y-axis at (0,-6)

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
That description makes very clear the a and b and the center. Making a sketch either on graph paper or in the head (if you can think this image), center is (4.5,-3) and in this example, also a=4.5 and b=3.

Fill the standard form equation with the values.

RELATED QUESTIONS

Circle tangent to the x-axis at (5, 0) and the y-axis at (0,... (answered by stanbon)
A circle in the standard (x,y) coordinate plane is tangent to the y-axis at 9. What is... (answered by scott8148)
Write an equation in standard form for the circle that statisfies these conditions... (answered by lwsshak3)
A circle in the standard (x,y) coordinate plane is tangent to they-axis at 9. What is the (answered by scott8148)
write equation in standard form for a circle with center (-6,5) and tangent to the... (answered by Alan3354)
write in standard form an ellipse with major axis 6 units long and parallel to the... (answered by Edwin McCravy)
Write an equation for the circle that is centered at (−4, 5) and tangent to the... (answered by MathLover1)
what is the equation in standard form of the circle whose center is at (-5,-6) and is... (answered by Alan3354)
Find the equation, in standard form, of the circle being described in each item. 1.... (answered by ikleyn)