Question

If a quadratic function in \( x \) has the value 19 when \( x = 1 \) and has a maximum value 20 when \( x = 2 \), then the function is

• A. \( f(x) = x^2 - 4x + 16 \)
• B. \( f(x) = -x^2 + 5x + 16 \)
• C. \( f(x) = x^2 + 4x + 16 \)
• D. \( f(x) = -x^2 + 4x + 16 \)

Hint:

For a quadratic function, negative coefficient of \(x^2\) means maximum value and positive coefficient means minimum value.

Answer 1

The Correct Option is D