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If f(x) = 2x^2 - 8x + 6, what is f(3)?

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Question: If f(x) = 2x^2 - 8x + 6, what is f(3)?

Options:

  1. 0
  2. 2
  3. 6
  4. 12

Correct Answer: 2

Solution: 

Substituting x = 3 into the function: f(3) = 2(3)^2 - 8(3) + 6 = 18 - 24 + 6 = 0.

If f(x) = 2x^2 - 8x + 6, what is f(3)?

Practice Questions

Q1
If f(x) = 2x^2 - 8x + 6, what is f(3)?
  1. 0
  2. 2
  3. 6
  4. 12

Questions & Step-by-Step Solutions

If f(x) = 2x^2 - 8x + 6, what is f(3)?
  • Step 1: Identify the function f(x) = 2x^2 - 8x + 6.
  • Step 2: Substitute x = 3 into the function. This means we replace every x in the function with 3.
  • Step 3: Calculate 3 squared (3^2). This equals 9.
  • Step 4: Multiply 9 by 2. This gives us 2 * 9 = 18.
  • Step 5: Calculate 8 times 3. This equals 24.
  • Step 6: Now, put everything together: f(3) = 18 - 24 + 6.
  • Step 7: First, do the subtraction: 18 - 24 = -6.
  • Step 8: Now, add 6 to -6: -6 + 6 = 0.
  • Step 9: Therefore, f(3) = 0.
  • Function Evaluation – The process of substituting a specific value into a function to find the output.
  • Quadratic Functions – Understanding the structure and properties of quadratic equations, particularly in the form f(x) = ax^2 + bx + c.
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