How to find the axis of symmetry of a function
Asked by admin @ in Mathematics viewed by 269 People
What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?
The axis of symmetry is x =
Answered by admin @
F ( x ) = - ( x + 9 ) ( x - 21 ) =
= - ( x² - 21 x + 9 x - 189 ) =
= - x² + 21 x - 9 x + 189 =
= - x² + 12 x + 189
This is a quadratic function and its axis of symmetry is:
x = - b / 2a, where: a = - 1 and b = 12
x = - 12 / 2·(-1) = - 12 / (- 2) = 6
Answer: x = 6
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