Question

Consider the graph of the function /() = 24

y
5-
4-
3-
2-
1
-3
21
0
2
3
4
5
-1-
-2
-3
-49
-5-
Match each transformation of function fto a feature of the transformed function.
asymptote of y = 2
y-intercept at (0,4)
y-intercept at (0,2)
function decreases as x increases

Answer 1

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Answer:

• function decreases
• (0, 2)
• y = 2
• (0, 4)

Explanation:

-f(x) reflects the graph over the x-axis. Instead of increasing everywhere, it decreases everywhere.

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2f(x) stretches the graph vertically by a factor of 2. The y-intercept of (0, 1) gets moved to (0, 2)

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f(x) +2 shifts the graph up 2 units. The horizontal asymptote moves from y=0 to y=2.

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f(x+2) shifts the graph left 2 units. The point (2, 4) on the original graph gets translated to the y-axis to become the new y-intercept (0, 4).