Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
<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.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
- It was vertically compressed by a factor of 3, due to the multiplication by 3.
- It was shifted up 1 unit, due to the addition of 1.
In the graph at the end of the answer, both functions are shown, with <u>f(x) in red and g(x) in blue</u>.
More can be learned about translation concepts at brainly.com/question/28393734
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Answer:
The length of the shortest piece is 11 inches. The length of the medium piece is 14 inches. The length of the longest piece is 20 inches.
Step-by-step explanation:
Ok, so we have a long sandwich of 45 inches that will be divided in 3, giving us the following formula (x = shortest, y = medium, z=longest):
x + y + z = 45
Then we have middle piece (y) is 3 inches longer than the smallest (x):
y = x + 3
And the shortest piece (x) is 9 inches shorter than the longest (z):
x = z - 9 or z = x + 9
Let's place the found values of y and z in the first equation:
x + y + z = 45
x + (x + 3) + (x + 9) = 45
3x + 12 = 45
3x = 33
x = 11
So, x = 11, y = 14 and z = 20. (11 + 14 + 20 = 45).
The answer is C. Closed circle and it goes to the right. Meaning it is either 2 or move. X is greater than or equal to 2
Both expressions are graphs of a line. Plot the points and connect the dots. Graph will be two lines with open circle endpoints.
line from (-4,0) to (-3,1)
open circles at points
line from (6,11) to (3,5)
open circles at points
Answer:
$4.22
Step-by-step explanation:
its just $20-$15.78