A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:
g(x) = 2*f(x + 4) - 1
<h3>
How to write the given transformation?</h3>
For a general function f(x), a vertical stretch of scale factor K is written as:
g(x) = K*f(x).
<u><em>Horizontal translation:</em></u>
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
<u><em>Vertical translation:</em></u>
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the shift is upwards.
- If N is negative, the shift is downwards.
So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:
g(x) = 2*f(x)
Then we translate it 4 units left:
g(x) = 2*f(x + 4)
Then we translate 1 unit down:
g(x) = 2*f(x + 4) - 1
This is the equation for the transformation.
If you want to learn more about transformations, you can read:
brainly.com/question/4289712
In a polynomial, each constant (regular number) has a degree of 0. For example, 8 is really 8x to the power of 0.
Roughly $759.77 would be made from nachos
The answer is: 30 skiers were participating in the ski trip.
Method:
$50S = $1,850 - $350 = $1,500
S = 1,500/50 = 30
Therefore, 30 skiers went on the trip
(Correct me if I’m wrong in comments)
Answer: 80
Reasoning: A polyhedron can have 30 edges. If this polyhedron has 120 it has 4 times the “other” one. If it has 30 edges it will have 20 vertices, meaning 20*4=80 vertices