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If f(x) = 3x^2 - 12x + 9, what is f(2)?

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Question: If f(x) = 3x^2 - 12x + 9, what is f(2)?

Options:

  1. 0
  2. 3
  3. 9
  4. 6

Correct Answer: 0

Solution: 

Substitute x = 2 into the function: f(2) = 3(2)^2 - 12(2) + 9 = 12 - 24 + 9 = -3.

If f(x) = 3x^2 - 12x + 9, what is f(2)?

Practice Questions

Q1
If f(x) = 3x^2 - 12x + 9, what is f(2)?
  1. 0
  2. 3
  3. 9
  4. 6

Questions & Step-by-Step Solutions

If f(x) = 3x^2 - 12x + 9, what is f(2)?
  • Step 1: Identify the function f(x) = 3x^2 - 12x + 9.
  • Step 2: Substitute x = 2 into the function. This means you replace every x in the function with 2.
  • Step 3: Calculate 3(2)^2. First, calculate (2)^2 which is 4, then multiply by 3 to get 12.
  • Step 4: Calculate -12(2). This is -24.
  • Step 5: Now, add the results together: 12 - 24 + 9.
  • Step 6: First, do 12 - 24 which equals -12.
  • Step 7: Finally, add -12 + 9 to get -3.
  • Function Evaluation – The process of substituting a specific value into a function to find the corresponding output.
  • Quadratic Functions – Understanding the structure and properties of quadratic functions, which are polynomials of degree 2.
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