Question

What are the difference and similarities between a quadratic function and its transformation?

Answer 1

Well, since they are different degrees, there aren’t much similarities.

But both can have y-intercepts, x-intercepts, and can be graphed on a 2-dimensional plane. However, other than that, there may not be a lot of similarities.

A standard quadratic function is of the form ()=2++
f
(
x
)
=
a
x
2
+
b
x
+
c
and has the shape of a parabola, while a linear function is of the form ()=+
f
(
x
)
=
a
x
+
b
and is just a line.
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