Question

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GIVING THE CROWN IF YOUR RIGHT

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Find the axis of symmetry of the graph of y = 2x2 – 4x + 4.


x = 1
x = 2
y = 2
y = 1

Answer 1

The correct option is 1. The axis of symmetry of the given graph is x=1.

Explanation:

If a quadratic function is defined as

`y=ax^2+bx+c` ... (1)

then, the axis of symmetry is

`x=-(b)/(2a)`

The given parabolic equation is

`y=2x^2-4x+4` .... (2)

On comparing (1) and (2), we get

`a=2,b=-4,c=4`

The axis of symmetry of given graph is

`x=-((-4))/(2(2))`

`x=-((-4))/(4)`

`x=1`

Therefore the axis of symmetry of the given graph is x=1 and option 1 is correct.