Question

what is the axis of symmetry of the following equation ? f(x) = x² - 3x - 4A) x = 1 B) y = 4C) y = -1D) x = 1.5

Answer 1

Given:

The function f(x) is defined as:

`f(x)=x^2\text{ - 3x - 4}`

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:

`y=ax^2+bx+c`

The axis of symmetry is defined as:

`x\text{ = }-(b)/(2a)`

The next step is to apply the formula

a =1 , b = -3

`\begin{gathered} x\text{ = -}(-3)/(2*1) \\ =\text{ }(3)/(2) \\ =\text{ 1.5} \end{gathered}`

Hence, the axis of symmetry is x = 1.5

Answer: Option D