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:
-1/3
equation: 5x+13=-x+11
Step-by-step explanation:
1) combine like terms
5x+13=-x+11
5x+x=-13+11
6x=-2
x=-2/6
x=-1/3
u - v = <6 - 1, -9 - (-4)> = <5, -5> . . . . . . . matches selection A)
_____
The sum or difference of vectors is simply the sum or difference of corresponding coordinates.
Answer:
<h2>37</h2>
Step-by-step explanation:
p = 10
r = -4
t = 5
Substitute values into the given equation
Simplify
Answer:
Step-by-step explanation:
V of a cube is s^3
V = 512
s = cube root of (V)
s = cube root of 512 cm^3
s = 8
The area of one face of the cube is s^2
s = 8
Area 1 face = 8^2
Area of 1 face = 64 cm^2