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gavmur [86]
3 years ago
5

Begin by graphing the standard absolute value function f(x)=|x|. Then use transromations of this graph to describe the graph the

given function. h(x)=2|x|+2
Mathematics
1 answer:
Len [333]3 years ago
4 0
The +2 would cause a shift of up two on the y-axis. the 2 infront of the x, would cause the graph to narrow. using the point 0 f(x) would be 2 or (0,0) and on g(x) it would be (0,2) using x=3, you would have (3,3) and (3,8)
You might be interested in
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
Which of the following threats to biodiversity is a result of plants and animals introduced to an ecosystem where they are not n
Dahasolnce [82]

Invasive Species since they were brought into a habitat that they were not originally in.

3 0
2 years ago
Read 2 more answers
HELP ASAP
Oliga [24]

Answer:

27.5cm^2

Step-by-step explanation:

you can cut the triangle to make two right triangles

so 11 is the height and the width is 2.5 since your cutting the triangle in half

so 11x2.5=27.5 since its a right triangle you have to divide by two 27.5/2=13.75

that's the answer for one of the triangles now multiply it by two since you need the two right triangle to make the other triangle so the answer is 27.5

5 0
3 years ago
F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
1. Write down the solution set for each system with variables x, y, and z. zi cexo
insens350 [35]

Answer: need point so HA!

Step-by-step explanation:

6 0
3 years ago
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