SOLUTION: Find the vertex, the line of symmetry and the maximum or minimum value of f(x)=1/4(x+8)^2+8. Graph the function.

Algebra ->  Finance -> SOLUTION: Find the vertex, the line of symmetry and the maximum or minimum value of f(x)=1/4(x+8)^2+8. Graph the function.      Log On


   



Question 515504: Find the vertex, the line of symmetry and the maximum or minimum value of f(x)=1/4(x+8)^2+8. Graph the function.
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the vertex, the line of symmetry and the maximum or minimum value of f(x)=1/4(x+8)^2+8. Graph the function.
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given equation is that of a parabola of standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex and the parabola opens upwards.
For given equation: f(x)=1/4(x+8)^2+8
vertex: (-8,8)
line of symmetry: x=-8
since parabola opens upwards, there is a minimum of 8
see graph below:
..
+graph%28+300%2C+300%2C+-20%2C+10%2C+-10%2C+20%2C.25%28x%2B8%29%5E2%2B8%29+