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Algebra 1 Linear functions

Transformations of linear functions

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Question 1
176739
The parent function is \(f(x) = x\). Describe the transformation that produces each function and state the \(y\)-intercept of each.

(a) \(g(x) = x + 6\)
(b) \(h(x) = x - 4\)
(c) \(k(x) = x + 0\)
Part a:
A.
Shifted 6 units down; \( (0,-6) \)
B.
Shifted 6 units up; \( (0,6) \)
Correct
C.
Shifted 6 units right; \( (6,0) \)
D.
Slope changed to 6; \( (0,0) \)
Part b:
A.
Shifted 4 units up; \( (0,4) \)
B.
Shifted 4 units left; \( (-4,0) \)
C.
Slope changed to \( -4 \); \( (0,0) \)
D.
Shifted 4 units down; \( (0,-4) \)
Correct
Part c:
A.
Shifted 1 unit up; \( (0,1) \)
B.
Reflected over the \( x \)-axis
C.
Vertically stretched
D.
No shift - parent function; \( (0,0) \)
Correct

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