SOLUTION: graphs of quadratic functions f ( x ) has a minimum point and intersects the x-axis at 4 and m . If the symmetry axis of the graph is x = 5 , the value of m and the next state func

Algebra ->  Graphs -> SOLUTION: graphs of quadratic functions f ( x ) has a minimum point and intersects the x-axis at 4 and m . If the symmetry axis of the graph is x = 5 , the value of m and the next state func      Log On


   

Question 951048: graphs of quadratic functions f ( x ) has a minimum point and intersects the x-axis at 4 and m . If the symmetry axis of the graph is x = 5 , the value of m and the next state function f ( x )
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From symmetry,
m-5=5-4
m=6
.
.
f%28x%29=a%28x-5%29%5E2%2Bb
f%284%29=a%284-5%29%5E2%2Bb=0
a%2Bb=0
f%286%29=a%286-5%29%5E2%2Bb=0
a%2Bb=0
b=-a
Since it has a minimum then a%3E0
So,
f%28x%29=a%28x-5%29%5E2-a
where a is a non-zero constant.