Question

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

Answer 1

True

Step-by-step 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=-(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=-(-8)/(2(2)) \\ \\ x=-(-8)/(4)=-(-2) \\ \\ x=2 \end{gathered}`

Therefore, it is true.