Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
Answer:first question answer is 2
Second question is 0 and 1
Step-by-step explanation:
Answer:
0.80
Step-by-step explanation:
Answer:
8=41
7=49
10=41
9=49
Step-by-step explanation:
angle 8 is given and since 7 and 8 make 90 then 7 =49 because 90-41=49. 10 and 8 are the same size (at least it looks like it) therefore 7 and 9 are the same too. So that is how I got the answers.
Using a proportional relationship, the ordered pair that is a solution if x represents the number of days that a library book is late and y represents the total fee is:
(3, 0.9).
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, each day, the free is increased by $0.3, hence the constant is k = 0.3 and the function is:
y = 0.3x.
Then after three days, the total fee is:
y = 0.3 x 3 = 0.9.
And the ordered pair is:
(3, 0.9).
More can be learned about proportional relationships at brainly.com/question/28291848
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