SOLUTION: Graph the quadratic function f(x)=5-x^2 and identify the Vertex. Give the Domain and Range.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Graph the quadratic function f(x)=5-x^2 and identify the Vertex. Give the Domain and Range.      Log On


   

Question 694423: Graph the quadratic function f(x)=5-x^2 and identify the Vertex. Give the Domain and Range.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the quadratic function f(x)=5-x^2 and identify the Vertex. Give the Domain and Range
This is an equation of a parabola that opens downwards. (negative lead coefficient)
Its standard form: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
For given equation: y=-x^2+5 (rewritten)
vertex(0,5)
domain: (-∞,∞)
range: (-∞,5]
see graph below:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-x%5E2%2B5%29+