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Lilit [14]
3 years ago
9

Which of the following is the graph of f(x) = -0.5|x+3| -2?

Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

Answer:

The last graph

Step-by-step explanation:

We transform functions in the following ways:

  • multiplying the function by a number to stretch or shrink it
  • multiplying by a negative to flip the orientation of the function
  • adding/subtracting a value to the input x to shift it horizontally
  • adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.

Looking at the equation we can see f(x)=-0.5\left|x+3\right|-2

  • Vertically shrunk by 0.5
  • Negative leading coefficient to flip the graph's orientation
  • Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
  • Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)

The last graph has vertex (-3,-2) and satisfies the the equation.

emmasim [6.3K]3 years ago
5 0

Answer: first one

Step-by-step explanation:

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3 years ago
The question is in the pic
tigry1 [53]

Answer:

the last one: yes it can, because -4.5 lies to left of -3.5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Gabby left the mall and drove north. Violet left 2 hours later, driving 18 mph faster to catch up with Gabby. After 3 hours, she
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let the speed of Gabby be S and the speed of violet be S+18

they drove the same distance(d) so d is constant

S*5=(S+18)*3

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3 years ago
If a+1,2a+1,4a-1 are in A.P, then the value of a is
seraphim [82]

Answer:

2

Step-by-step explanation:

∵a+1,2a+1,4a-1 are in A.P.

2(2a+1)=a+1+4a-1

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7 0
3 years ago
Lifetime of a certain transistor in a certain application has a mean of 900 hours and a standard deviation of 30 hours. Four tra
AURORKA [14]

Answer:

3600 hours

Step-by-step explanation:

let total life time of t four transistors T = X1 + X2 + X3 + X4 (where X1,X2,X3 and X4 are life time of individual transistors

mean of the length of time that four transistors will last =E(T)=E(X1 + X2 + X3 + X4)

=E(x1) + E(x2) + E(x3) + E(x4) =900+900+900+900 =3600

and standard deviation of total time =SD(T)=sqrt(Var(T)) = sqrt(Var(X1) + Var(x2) + Var(x3) + Var(x4))

where sqrt means the square root

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