Answer:
- Right 7 units
- Up 2 units
- Vertical Stretch
Step-by-step explanation:
Given the function, f(x) = 3/2(x + 7)² + 2,
where:
a = 3/2
vertex (h, k ) = (7, 2)
- The value of a determines whether the graph opens up or down. The value of a also makes the parent function wider or narrower (vertical stretch by a factor of a ). If a > 1, the graph is narrower than the parent function.
- The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right.
- The value of k determines how far up or down the parent function is translated. If k is positive, the function is translated k units up.
Given these descriptions, we can assume that:
- The function is vertically translated by 2 units upward.
- The function is horizontally translated by 7 units to the right.
- Vertical stretch by a factor of 3/2 (or 1.5).
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