Home > Algebra > Vertex Form of a Quadratic Equation

How do you find the vertex and axis of symmetry of # f(x)= 3x^2 + 12x + 1#?

Answer 1

The squared term in this equation indicates that it is a quadratic equation of a parabola.

#y = ax^2+bx+c#

the vertex is located where #x = -b/(2a)#

this occurs where #x = -12/(2 xx 3)# or at #x = -2#

substitute into the equation to figure out the y coordinate of the vertex. The axis of symmetry is the vertical line passing through the vertex which is #x = -2#

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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.

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