Question 1053913
Find the minimum value of the function f(x) = x^2 + 9x – 16.
<pre> Minimum value occurs at: {{{x = - b/(2a)}}}, or at: {{{x = - 9/2}}}
Minimum value: {{{f(- 9/2) = (- 9/2)^2 + 9(- 9/2) - 16}}} ------- Substituting {{{- 9/2}}} for x
Minimum value: {{{f(- 9/2) = 81/4 - 81/2 - 16}}}
Minimum value: {{{f(- 9/2) = 81/4 - 162/4 - 64/4}}}
Minimum value: {{{highlight_green(matrix(1,5, f(- 9/2) = - 145/4, or, - 36&1/4, or, - 36.25))}}}