Using translation concepts, it is found that the transformations are as follows:
- In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
- In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.
<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 in it's definition.
In y = -f(x÷2)-5, we have that:
- f(x) is multiplied by -1, hence it was reflected over the x-axis.
- x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
- 5 is subtracted from f(x), hence the function was shifted 5 units down.
In y = f(-x) + 5, we have that:
- x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.
- 5 is added to f(x), hence the function was shifted 5 units up.
More can be learned about translation concepts at brainly.com/question/4521517
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Options :
(A.) y=558-273x (B.) y=264+142x (C.) y = 55.8 +2.79x (D.) y= -26.4-1.42x
Answer:
C.) ŷ = 2.79X + 55.8
Step-by-step explanation:
Given the data:
cost (x): 9 2 3 4 2 5 9 10
Number of products sold: 85 52 55 68 57 86 83 73
Using the online regression calculator to generate a linear regression plot of the given data: the model obtained is given below
ŷ = 2.79X + 55.8
With y being the predicted or dependent variable
Slope or gradient of the line = 2.79
X = the independent variable
55.8 = the intercept.
x=15,-1 would be the correct answer for this equation
Answer:
.12
Step-by-step explanation:
First set up your proportion.
Multiply 3 and 25 by 4 to get 12 and 100.
the answer would be 12 hundredths or .12
23× 32× 5 that’s the prim factorization
