True or false: Square root (16-x^2) is a parabola?

if you write it as y=鈭?16-x虏)


then square both sides:


y虏 = 16 - x虏


you get:


x虏 + y虏 = 16


which, indeed, is a circle with center at the origin and radius 4.





So, to answer your question: false.





that's it! ;)True or false: Square root (16-x^2) is a parabola?
I believe it is actually a circle centered at the origin and with a radius of 4.





because it can be written as x^2 + y^2 = 4^2.





I guess it is really only half of the circle since all values of y must be positive (since it is a square root).True or false: Square root (16-x^2) is a parabola?
false.





the standard equation for a parabola is


y=ax^2 +bx + c, where a,b,c are constants.





since the given equation cannot be expressed in this form, it is not a parabola.





hope this helps