In the given graph, f(x) is a polynomial modeling Pi-Guy, the math superhero, flying around. Write an equation in terms of the parent function f(x) with each transformation. You do not need the specific type of function. Just write in terms of f(x).

Pre-parent function: This is transformed. There needs to be an equation for the circle (or the head of the guy flying). The equation for the circle is y = x^0.

Transformation A: It appears the graph is the same shape but moved slightly. To indicate this in notation, we will say that the function is Q = f(x) + y , with y being the transformation.

Transformation B: Same shape still, so no transformation is apparent. We will say that the function is f(x^0 - 0) + 0

facundo3141592 facundo3141592 · Answer 2 · 2021-09-19T00:58:57+02:00

We can define translations as operators that "move" the graph of our function in some given direction, the two general ones are vertical translations and horizontal translations.

The answer here is:

A) g(x) = f(x - 5)

B) g(x) = f(x) + 5.

To get this, we first need to understand what a translation is.

Vertical translation:

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 translation is upwards
If N is negative the translation is downwards.

Horizontal translation:

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 translation is to the left.
If N is negative the translation is to the right.

Now that we understand translations, let's look at the image and see how the graph moves.

Originally, the center of the character (where the "pi" is) is on the point (0, 0).

In transformation A it moves to the right, to (5, 0), so we can write this as a horizontal translation of 5 units to the right:

g(x) = f(x - 5)

In transformation B it moves up to (0, 5), then this is a vertical translation of 5 units up:

g(x) = f(x) + 5.

If you want to learn more, you can read:

https://brainly.com/question/24401156