Question

Given y = alog(x + c) + d. What would happen to the graph if you changed the value of d? Describe both positive and negative
values.
A)
B)
Changing the value of d would cause a vertical stretch or shrink. A negative
value would also cause a reflection over the x-axis.
Changing the value of d would cause a horizontal stretch or shrink. A
negative value would also cause a reflection over the y-axis.
Changing the value of d would move the graph up and down (vertically). A
positive d value would move the graph up and a negative d value would
move the graph down.
Changing the value of d would move the graph left and right (horizontally).
A positive d value would move the graph right, and a negative d value
would move the graph left.
C)
D)

Answer 1

Answer: A

Step-by-step explanation:

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Answer 2

 Option (C) will define the changes in the graph of the function with the values of 'd'.

 Given function in the question → y = alog(x + c) + d

Rules for the translation of a function,

1. If a function y = f(x) is shifted 'h' units upwards on y-axis, rule for the translation will be → y = f(x) + h
2. If the function y = f(x) is shifted 'h' units downwards, rule for the translation → y = f(x) - h

 Hence, in the given function y = alog(x + c) + d, positive value of 'd' will define the shifting of the parent function upwards.

And for the negative value of 'd' will define the shift of the function downwards.

     Option (C) will be the correct option.

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