50 pts help! Function g is transformation of function f. What is the equation of function g?
1 answer:
The equation for the g(x) is g(x) = -3f(x) after applying the transformation.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a graph of a function shown in the picture.
From the graph:
When, x=0, y=3
The graph f(x) is reflected over the x-axis and stretched upward.
The transformation can be applied:
g(x) = -3f(x)
Thus, the equation for the g(x) is g(x) = -3f(x) after applying the transformation.
Learn more about the function here:
#SPJ1
You might be interested in
Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
__
2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
__
3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
__
4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3
