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

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ANSWER

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.

User Akshat Gupta
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