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What is the axis of symmetry of the graph of #y=2(x-3)^2+5#?

Answer 1

Genesis Allen

The axis of symmetry is a line that divides the graphed function into identical parts - usually two.

First, let's just expand the function:

#y = 2(x^2 -6x +9)+5# #y = 2x^2 -12x +18+5#

#y=2x^2 -12x +23#

Let's just find the coordinate for #x# for our vertex:

Coordinate for #x#:

#(-(b)/(2a)) = (-12)/(2*2) = -3#

As we are dealing with a second degree function without restrictions to its continuity, we can infer that the function is symmetric both left and right the vertex. So, the line #x=3# is the axis of symmetry of this function.

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Answer 2

Jameson Allen

The axis of symmetry of the graph of the quadratic function y = 2(x - 3)^2 + 5 is x = 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.