SOLUTION: Shown here is the graph of fuction f: https://gyazo.com/23432fe2bf0ee0a5fa83102137f48659 If g(x) = x^2 - 10x + 20, which function has a lower minimum value?

Algebra ->  Trigonometry-basics -> SOLUTION: Shown here is the graph of fuction f: https://gyazo.com/23432fe2bf0ee0a5fa83102137f48659 If g(x) = x^2 - 10x + 20, which function has a lower minimum value?      Log On


   

Question 1026555: Shown here is the graph of fuction f:
https://gyazo.com/23432fe2bf0ee0a5fa83102137f48659

If g(x) = x^2 - 10x + 20, which function has a lower minimum value?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
function f's minimum value is -4
:
g(x) = x^2 -10x + 20 is a parabola that curves upward just like f
:
to find the x-coordinate of the vertex of g(x) use the formula
:
x = -b / 2a = -(-10) / 2 = 5
:
now substitute for x in g(x)
:
g(5) = 5^2 -10(5) + 20 = -5
:
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g(x) has the lower minimum value
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