SOLUTION: graph the function f(x)=-1/2|x-4|+5

Question 250685: graph the function
f(x)=-1/2|x-4|+5
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Since this is absolute value function, we should be able to tell 3 things just by looking at the function:
(i) vertex
(ii) open up or down
(iii) wide, regular, skinny graph
---
(i) The vertex is at (4,5)
(ii) It opens down, because there is a (-) sign in front of the absolute value.
(iii) It is wide since there is a 1/2 in front of the absolute value.
--
to graph, plot (4,5). Then pick x = 2. We get
-1/2|2-4|+5 = 4. So, (2.4)
Now pick x = 6.
-1/2|6-4|+5 = 4. So, (6,4).
Make a rough sketch and you are done.
RELATED QUESTIONS
f(x)=1/x+5 +2 graph the... (answered by ewatrrr)

Graph the quadratic function.... (answered by Fombitz)

graph the quadratic function... (answered by stanbon)

Graph the function. f(x) = 1/(x) + 4 (answered by Nate)

graph the following function f(x)=... (answered by Fombitz)

Graph the function... (answered by lynnlo)

f(x) = (1/4)x Graph the... (answered by Theo)

f(x)=1/x-4+3 graph the... (answered by ewatrrr)

Graph the function {{{ f(x)=5(x+1)^2+4 }}} Identify vertex and vertical asymptote.... (answered by josgarithmetic,josmiceli)