Question

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What transformations change the graph of f(x) to the graph of g(x)?
F(x) = x^2
G(x) = (x+3)^2 - 7
A) the graph of g is the graph of f translated to the right 3 units and up 7units.
B) the graph of g is the graph of f translated to the left 3 units and down 7 units.
C) the graph of g is the graph of f translated up 3 units and down 7 units.
D) the graph of g is the graph of f translated down 3 units and to the right 7 units.

Answer 1

When there are translations inside the bracket, it is a horizontal shift, so with \[B(x)=(x-8)\]We are shifting 8 units to the left. What horizontal transition do you think is happening to g(x)?

Answer 2

To the right 3 units?
Is the answer A?

Answer 3

It is to the right 3 units, but does the -7 make you think of going up or down ?

Answer 4

I'm sorry it is 3 units to the left not right, and 7 units down.