SOLUTION: I think i basicly have this one. But could you try it to check my work. Thank you. Graph the quadratic function. y=16-x^2, state the domain and range.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I think i basicly have this one. But could you try it to check my work. Thank you. Graph the quadratic function. y=16-x^2, state the domain and range.      Log On


   

Question 7619: I think i basicly have this one. But could you try it to check my work. Thank you.
Graph the quadratic function. y=16-x^2, state the domain and range.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
quadratic factorises to y+=+%284-x%29%284%2Bx%29

so, %284-x%29%284%2Bx%29+=+0

so the roots are either x=4 or x=-4.

As the curve has - x-squared term, it is a n-shape, whose maximum will be at the x-values mid-way between its roots, ie at x=0.

When x=0, y is 16.

So, domain is xeR
range is yeR, y<=16

jon.