Both transformations involve the square root function \( y = \sqrt{x} \), but the second function \( y = -(\sqrt{x} + 1 + 5) \) reflects the graph of the first function across the x-axis, shifts it downward, and dilates it vertically. The first function is concave upward, while the second function is concave downward and has a vertical shift downwards by 6 units.
Compare and contrast the transformations of the functions “y = Vx and y = -(Vx + 1 + 5)”, and “y = Vx to y = -(Vx + 1 + 5). What's the same? What's different?
Answer in 2 short sentences.
The Vs represent the square root symbol.
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