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  2. 12th grade
  3. Precalculus
  4. Exercise : Identify a basic transformation from an equation

Identify a basic transformation from an equation Precalculus

Let f be a function defined for any x \in\mathbb{R}.

What would happen to the graph of f\left(x+2\right) compared to the graph of f\left(x\right) ?

Let f be a function defined for any x \in\mathbb{R}.

What would happen to the graph of f\left(x-3\right) compared to the graph of f\left(x\right) ?

Let f be a function defined for any x \in\mathbb{R}.

What would happen to the graph of f\left(x\right)+5 compared to the graph of f\left(x\right) ?

Let f be a function defined for any x \in\mathbb{R}.

What would happen to the graph of f\left(x\right)-7 compared to the graph of f\left(x\right) ?

Let f be a function defined for any x \in\mathbb{R}.

What would happen to the graph of -f\left(x+3\right) compared to the graph of f\left(x\right) ?

Let f be a function defined for any x \in\mathbb{R}.

What would happen to the graph of f\left(x+4\right)-6 compared to the graph of f\left(x\right) ?

Let f be a function defined for any x \in\mathbb{R}.

What would happen to the graph of f\left(x-10\right)+1 compared to the graph of f\left(x\right) ?

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See also
  • Course : Transformations of functions and families of functions
  • Exercise : Identify a basic transformation from a graph
  • Exercise : Identify odd functions from equations
  • Exercise : Identify even functions from equations
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