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Math Asked by a SnapAndSolve user · about 2 hours ago

Drag each tile to the correct box. Consider the graph of the function \( f(x) = 2^x \). Match each...

Drag each tile to the correct box.
Consider the graph of the function \( f(x) = 2^x \).
Match each transformation of function \( f \) to a feature of the transformed function.
1. \( m(x) = -f(x) \)
2. \( h(x) = f(x) + 2 \)
3. \( g(x) = 2f(x) \)
4. \( j(x) = f(x + 2) \)

Answer

  1. \( m(x) = -f(x) \): Reflects the graph of \( f(x) \) across the x-axis.

  2. \( h(x) = f(x) + 2 \): Shifts the graph of \( f(x) \) up by 2 units.

  3. \( g(x) = 2f(x) \): Stretches the graph of \( f(x) \) vertically by a factor of 2.

  4. \( j(x) = f(x + 2) \): Shifts the graph of \( f(x) \) to the left by 2 units.

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