Using translation concepts, the correct statements are given as follows:
- Ava's graph is vertical translation of x².
- Ava's graph has a y-intercept of 4.
- Victor's graph moves 4 units from f(x) = x² in a positive direction.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Ava's graph is given by:
h(x) = x² + 4.
It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.
Victor's graph is given by:
g(x) = (x + 4)²
Which means that it moves 4 units from f(x) = x² in a positive direction.
More can be learned about translation concepts at brainly.com/question/4521517
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U = -b + 21 . . . (1)
u = -2b + 30 . . . (2)
Equating (1) and (2),
-b + 21 = -2b + 30
-b + 2b = 30 - 21
b = 9
u = -9 + 21 = 12
Therefore, (b, u) = (9, 12).
The remainder of the expression x/(x + 1) is a negative one. Then the correct option is D.
<h3>What is division?</h3>
The division means the separation of something into different parts, sharing of something among different people, places, etc.
The expression is given below.
Add and subtract 1 in the numerator, then we have
Then the remainder will be a negative one.
More about the division link is given below.
brainly.com/question/369266
Answer:
a1=2 and r=-1
Step-by-step explanation:
Given
geometric series= 2-2+2-2+2
geometric sequence has a constant ratior r and is given by
an=a1r(r)^(n-1)
where
an=nth term
r=common ratio
n=number of term
a1=first term
In given series:
r= a(n+1)/an
= a(2)/a1
= -2/2
=-1
so a1=2 and r=-1 !
Answer:
B
Step-by-step explanation:
First, note that the figure is a parallelogram.
The area of a parallelogram is given by:
Where b is the base length and h is the vertical height.
The base length is 5+2 or 7, and the vertical height is 2.
Thus:
The answer is B.
