What are the important parts of the equation to graph #f(x) = (x-2)^2 - 1#?

Answer 1

Genesis Allen

Vertex is #(2,-1)#
Axis of Symmetry is #x=2#
The curve is opening upwards.

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

This equation is in the vertex form and is quadratic.

#y=a(x-h)^2+k#

The given function's vertex is -

#h=-1(-2)=2# #k=-1# Vertex is #(2,-1)#

Axis of Symmetry is #x=2#

Its #a# value is #1# i.e., positive. Hence the curve is opening upwards.

graph{(x-2)^2-1 [-5, 5, 10, 10]}

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Answer 2

Nathan Axel

The important parts of the equation ( f(x) = (x - 2)^2 - 1 ) for graphing are the vertex, which is at (2, -1), and the shape of the parabola, which opens upwards because the coefficient of the squared term is positive.

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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.