Given:
The function f(x) is defined as:
[tex]f(x)=x^2\text{ - 3x - 4}[/tex]Required: The axis of symmetry of the equation
The first step is the define the formula
Given the general equation of a parabola to be:
[tex]y=ax^2+bx+c[/tex]The axis of symmetry is defined as:
[tex]x\text{ = }-\frac{b}{2a}[/tex]The next step is to apply the formula
a =1 , b = -3
[tex]\begin{gathered} x\text{ = -}\frac{-3}{2\times1} \\ =\text{ }\frac{3}{2} \\ =\text{ 1.5} \end{gathered}[/tex]Hence, the axis of symmetry is x = 1.5
Answer: Option D
