The function h (x) is defined by the equation h (x) = 4f (x) - 12. Determine two different sets of transformations that could produce the graph of h (x) from the graph f (x). For each, specify two transformation and that order in which they occurred. As a hint, write h (x) in its factored form.

Question

Mathematics

Ashly Atkins

30 March, 17:17

The function h (x) is defined by the equation h (x) = 4f (x) - 12. Determine two different sets of transformations that could produce the graph of h (x) from the graph f (x). For each, specify two transformation and that order in which they occurred. As a hint, write h (x) in its factored form.

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Answers (1)

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Christopher Briggs · Answer 1

First set:

1) stretch: parallel to y-axis, factor 4

2) translation: 12 units downwards

Second set:

1) translation: 3 units downwards

2) stretch: parallel to y-axis, factor 4

Step-by-step explanation:

f (x) = 4[f (x) - 3]