1. Parabola help

Consider the parabola defined by the equation y = -x^2 + 6.

Find: axis of symmetry: i got x = 0

Find: vertex: i got (0,6)

Express the distance as a function in x between the origin and point P=(x,y) which is on the parabola on the first quadrant: okay i have no idea how to do this one.

thanks for any help

2. Originally Posted by NeedHelp18
Consider the parabola defined by the equation y = -x^2 + 6.

Find: axis of symmetry: i got x = 0

Find: vertex: i got (0,6)

Express the distance as a function in x between the origin and point P=(x,y) which is on the parabola on the first quadrant: okay i have no idea how to do this one.

thanks for any help
A general point on the parabola has coordinates (x, y), that is, (x, -x^2 + 6). The origin has coordinate (0, 0). Now apply the usual formula for the distance between two points.

3. f(x) = √(x²+x^4 + 36) for 0≤x≤√6

4. Dear NeedHelp18,

I hope you don't belive so: $\displaystyle (a-b)^2 = a^2 + b^2$

It would be pity!

5. wats the answer then? i still keep gettin the same thing.

6. the rigth formula:

$\displaystyle (a-b)^2 = a^2 - 2*a*b + b^2$

7. Originally Posted by NeedHelp18
f(x) = √(x²+x^4 + 36) for 0≤x≤√6

No. $\displaystyle d = \sqrt{x^2 + (- x^2 + 6)^2} = \, ....$