Let f (x) = -3x + 4. Describe the transformations from the graph of f to the graphs of g(x) = f (x) + 3 and h(x) = f (x - 2).
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Answer:
Reflect the parent function over the x-axis, and translate it 8 units to the left.
Step-by-step explanation:
The given function is
The parent function is
Since there is a negative multiply the transformed function, there is a reflection in the x-axis.
Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.
Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.