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What is the axis of symmetry and vertex for the graph #y=3x^2#?

Answer 1

Julia Adams

The vertex form is #y=3*(x-0)^2+0# hence the vertex is #(0,0)# and the axis of symmetry is the yy' axis.

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Answer 2

Jameson Allen

The axis of symmetry for the graph of (y = 3x^2) is the vertical line passing through the vertex, which is the point where the parabola reaches its maximum or minimum value. For the equation (y = ax^2), the vertex is given by ((0, 0)) and the axis of symmetry is the vertical line (x = 0). Therefore, for (y = 3x^2), the axis of symmetry is (x = 0), and the vertex is the point ((0, 0)).

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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.