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ratelena [41]
3 years ago
6

Suppose f(x)=x^2.Find the graph of f(x+3)

Mathematics
2 answers:
Mkey [24]3 years ago
5 0
Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
Sphinxa [80]3 years ago
3 0
<h2>Answer with explanation:</h2>

We are given a parent function f(x) by:

f(x)=x^2

i.e. the graph of the function f(x) is a parabola with vertex at (0,0)

Also, we know that the transformation of the type:

           f(x)  →  f(x+k)

is a shift or the translation of the function f(x) k units to the left or to the right depending on k.

if k>0 then the shift is k units to the left.

and if k<0 then the shift is k units to the right.

Here we have to graph the function:

f(x+3) i.e. k=3>0 i.e. the graph of this function is the shift of the graph of the function f(x) 3 units to the left.

i.e. the graph of f(x+3) is a upward open parabola with vertex at (-3,0).

i.e.   f(x)=(x+3)^2

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