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1 answer:
Answer:
Please check the attached figure!
Step-by-step explanation:
Part a)
Point A is located at the x-coordinate x=-4 and y-coordinate y=1.
Hence, the coordinates of point A = (-4, 1)
Part b)
Point B(3, -2) has been plotted and is shown in the attached figure.
It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)
Part C)
Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.
Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.
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Answer:
the equation of g(x) is,
Step-by-step explanation:
The transformation of the function is defined as:
where, b represents the horizontal shift.
if b> 0 then, the function f(x) shifts b units left and if b< 0 ; then the function shifts b units right
As per the statement:
The function f(x)=2x−5 is a linear function.
It is given that:
g(x) represent f(x) after a horizontal translation 3 units to the right.
⇒
then
⇒
⇒
Therefore, the equation of g(x) is,