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If f(x) = x^2 - 4x + 4, what is f(2)?

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Question: If f(x) = x^2 - 4x + 4, what is f(2)?

Options:

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Correct Answer: 0

Solution:

Substituting x = 2 into the function gives f(2) = 2^2 - 4(2) + 4 = 0.

If f(x) = x^2 - 4x + 4, what is f(2)?

Practice Questions

Q1
If f(x) = x^2 - 4x + 4, what is f(2)?
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Questions & Step-by-Step Solutions

If f(x) = x^2 - 4x + 4, what is f(2)?
  • Step 1: Identify the function f(x) = x^2 - 4x + 4.
  • Step 2: Substitute x = 2 into the function. This means we replace every x in the function with 2.
  • Step 3: Write the equation with the substitution: f(2) = 2^2 - 4(2) + 4.
  • Step 4: Calculate 2^2, which is 4.
  • Step 5: Calculate -4(2), which is -8.
  • Step 6: Now, rewrite the equation with the calculated values: f(2) = 4 - 8 + 4.
  • Step 7: Simplify the equation: 4 - 8 = -4, then -4 + 4 = 0.
  • Step 8: Therefore, f(2) = 0.
  • Function Evaluation – The process of substituting a specific value into a function to find the output.
  • Quadratic Functions – Understanding the structure of a quadratic function and how to manipulate it.
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