SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. {{{f(x)=(1/4)(x+1)^2+5}}} The vertex is ____. <--Type an ordered pair. The

Algebra ->  Graphs -> SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. {{{f(x)=(1/4)(x+1)^2+5}}} The vertex is ____. <--Type an ordered pair. The       Log On


   

Question 397259: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f%28x%29=%281%2F4%29%28x%2B1%29%5E2%2B5
The vertex is ____. <--Type an ordered pair.
The line of symmetry is x=____.
The maximum/minimum value of f(x)=____.
Is the value, f(-1)=5, a minimum or maximum.
Graph.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi



Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

f%28x%29=%281%2F4%29%28x%2B1%29%5E2%2B5 |1/4 = a > 0, parabola opens upward

 Vertex is Pt(-1,5)is minimum point and the Line of symmetry is x = -1

f(x) = 5 is the minimum value for the function