Answer:
f(x) underwent a downward vertical translation to get g(x)
Step-by-step explanation:
here, we want to describe a transformation
Looking at the two equations, we can notice that the difference between the two is the -17
Practically, we have this difference as 17 subtracted from the second equation
what this mean is that there is a downward vertical translation of the first graph by 17 units to get the second graph
Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
- A(-1, 4) is the original point
- A'(3, 3) is the image of A
We need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
The function after the transformation has an equation of y = ∛(x - 7) + 5
<h3>How to determine the equation of the transformation?</h3>
The transformation statement is given as
"The cubic function shifts 7 units right and 5 units up."
A cubic function is represented as
y = ∛x
So, the transformations are:
- Shifts 7 units right
- Shift 5 units up
Mathematically, this can be represented as
(x, y) = (x - 7, y + 5)
So, we have the following equation
y = ∛(x - 7) + 5
Hence, the equation of the transformation is y = ∛(x - 7) + 5
Read more about transformation at
brainly.com/question/4280198
#SPJ1
The answer is 11 becauze the pattern works like this - 18÷2=9 20÷2=10 22÷2=11 Basically the X axis being divided by 2 which equals the Y axis (eg: X÷2=Y
