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Translation by h right and k up: f(x-h)+k.
Vertically scale by k and reflect across the x-axis: -k·f(x).
After the translation, your function is
f(x) = (x-2.5)² -7
After the scaling and reflection, your function is
f(x) = (-2/5)((x -2.5)² -7)
Vertically scale by k and reflect across the x-axis: -k·f(x).
After the translation, your function is
f(x) = (x-2.5)² -7
After the scaling and reflection, your function is
f(x) = (-2/5)((x -2.5)² -7)
Given:
The height of a golf ball is represented by the equation:
To find:
The maximum height of of Anna's golf ball.
Solution:
We have,
Differentiate with respect to x.
For critical values, .
Differentiate y' with respect to x.
Since double derivative is negative, the function is maximum at .
Substitute in the given equation to get the maximum height.
Therefore, the maximum height of of Anna's golf ball is 6.25 units.