Answer:
A) The graph of f(x) = x2 is made narrower.
Step-by-step explanation:
The transformed graph has equation:
To see the transformations clearly, we need to rewrite the function in the vertex form:
Therefore, the graph of the original function is made narrow of the multplier, 3.
The correct answer is A
Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
Sequence 1 is <span>arithmetic because it is has a subtractive rate of change.
Sequence 2 is geometric because it has a multiplicated rate of change. </span>
Let's call the length L and the width w.
perimeter = 2L + 2w
44 = 2L + 2w
the length is 6 yards longer than the width. so L = w + 6.
plug this into the equation. 44 = 2(w+6) + 2w
44 = 2w + 12 + 2w
44 = 4w + 12
32 = 4w
w = 8
L = w + 6
L = 8 + 6
L = 14
area = Lw
area = 8(14)
area = 112 yd²
Answer:
The functions with the property f(–x) =f(x) are called even functions because they symmetric about the y-axis and The functions with the property f(–x) = -f(x) are called odd because these function are symmetric about the origin .
Step-by-step explanation:
The functions with the property f(–x) =f(x) are called even functions because they symmetric about the y-axis . In other words these functions usually take a form x^2 ,x^4 ,x^6 ,x^8 etc . However ,there are other functions that behave like that too, such as cos(x).An even exponent does not always make an even function, for example (x+1)^2 is not an even function .
The functions with the property f(–x) = -f(x) are called odd because these function are symmetric about the origin . In other words they are called odd because of the functions like x, x^3 ,x^5 ,x^7, etc .but there are other functions that behave like that, too, such sin(x) .but an odd exponent does not always make an odd function, for example x3+1 is not an odd function.
