Home > Algebra > Vertex Form of a Quadratic Equation

What is the vertex form of #y=x^2 - 2x #?

Answer 1

#y=(x-1)^2-1#

The equation of a parabola in #color(blue)"vertex form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))# where (h ,k) are the coordinates of the vertex and a is a constant.

#"Rearrange " y=x^2-2x" into this form"#

#"using the method of "color(blue)"completing the square"#

#y=(x^2-2xcolor(red)(+1))color(red)(-1)#

#rArry=(x-1)^2-1larrcolor(red)" in vertex form"#

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Answer 2

Eva Abramson

The vertex form of (y = x^2 - 2x) is (y = (x - 1)^2 - 1).

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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.