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anonymous
 one year ago
For the graph below, what should the domain be so that the function is at least 200?
graph of y equals minus 2 times the square of x plus 30 times x plus 200
−5 ≤ x ≤ 20
0 ≤ x ≤ 15
x ≥ 0
All real numbers
anonymous
 one year ago
For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200 −5 ≤ x ≤ 20 0 ≤ x ≤ 15 x ≥ 0 All real numbers

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: from your graph, I see that: f(0)= 200, f(15)=200, and fo r all point x between 0 and 15, is f(x)>200

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1oopss. for all points*

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am sorry i am still confused.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440187581388:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1at x=0, f(x) = 200 right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1furthermore also at x=15, f(x)= 200

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1and if x>0 and x<15, f(x) is > 200

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that all for my answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you help with 1 more? The following graph shows the functions f(x) and g(x): graph of function f of x equals x squared and graph of function g of x equals x squared plus 5 The function g(x) is obtained by adding _______ to f(x). (only input integers) Numerical Answers Expected! Answer for Blank 1:

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we have: \[\Large \begin{gathered} f\left( x \right) = {x^2} \hfill \\ g\left( x \right) = {x^2} + 5 \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now I replace x^2 with f(x) into the expression for g(x), and I can write this: \[\Large g\left( x \right) = f\left( x \right) + 5\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1so what can you conclude?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry i am confused.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the expression of f(x) and g(x) are correct, right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1ok! now I can rewrite the first equation as below: \[\Large {x^2} = f\left( x \right)\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1then, I replace x^2 with f(x), into the expression for g(x), so I get this equation: \[\Large g\left( x \right) = f\left( x \right) + 5\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1ok! now, the geometrical meaning of that equation is: dw:1440188519007:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440188632785:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1so, what is the requested number?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1correct! since the graph of g(x), as you can see from my drawing, it is shifted up by 5 units with respect to the graph of f(x)
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