Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
The attached figure represents the image of A"B"C" after the transformation
<h3>How to transform the triangle?</h3>The transformation rule is given as:
A"B"C" = Ro90° (T(-4,3)(ABC))
This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle
From the figure, the coordinates of ABC are
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The rule of 90 degrees clockwise rotation is
(x,y) ⇒ (y,-x)
So, we have
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
The translation of the triangle by T(-4,3) is
(x,y) ⇒ (x - 4, y + 3)
So, we have
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
See attachment for the image of the transformation
Read more about transformation at:
#SPJ1
