Question

True or false: The equation for the axis of symmetry for the function, y = 2x^2 - 8x + 3 is x = 2.

Answer 1

ANSWER

True

EXPLANATION

We want to find the equation of the axis of symmetry of the given function:

$y=2x^2-8x+3$

The axis of symmetry of the function is given by:

$x=-\frac{b}{2a}$

where b = coefficient of x

a = coefficient of x²

From the given function:

$\begin{gathered} a=2 \\ \\ b=-8 \end{gathered}$

Therefore, the equation for the axis of symmetry of the function is:

$\begin{gathered} x=-\frac{-8}{2(2)} \\ \\ x=-\frac{-8}{4}=-(-2) \\ \\ x=2 \end{gathered}$

Therefore, it is true.