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max2010maxim [7]
3 years ago
9

Consider the absolute value function f(x)=-|x+2|-2 The vertex of the function is

Mathematics
2 answers:
natulia [17]3 years ago
4 0

Answer:

The vertex of the given function is (-2,-2).

Step-by-step explanation:

The given absolute function is

f(x)=-|x+2|-2         ..... (1)

The vertex form of an absolute function is

g(x)=a|x-h|+k        ..... (2)

Where, (h,k) is vertex of the absolute function.

From (1) and (2), we get

a=-1,h=-2,k=-2

Therefore the vertex of the given function is (-2,-2).

Black_prince [1.1K]3 years ago
3 0
(-2,-2)


Since it has a negative in front of the absolute value, the graph is a downward cone.
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The function C(x)=600x-0.3x^2 represents the total costs for a company to produce a product, where C is the total cost in dollar
tatiyna
C(x)=- 0.3x^2+600x
y=ax^2+bx+c
it shows a upside down parabola equation.
to find maximum value we need to find its vertex(h,k)
as this is a standard quadratic equation we need to see parabolis equation too
y=a(x-h)^2+k
if u see this eq^n K would be the maximum value of Y if x=h.
  where h,k are vertex of parabola.

h=-b/2a(derived standard formula)
C(x)=- 0.3x^2+600x
y=ax^2+bx+c
a= -0.3 b=600
h=-600/-0.3
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put h in place of x to get K
K= -0.3(2000)^2+600(2000)
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600= 0.3x
x=6000/3
x= 2000 units


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