Pregunta
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Responder
Option (3)
is a quadratic function.
Solución
To determine which of the given functions is a quadratic function, we need to identify the characteristics of a quadratic function. A quadratic function is typically in the form:
where
,
, and
are constants, and
.
Now, let’s analyze each of the provided options:
-
Option (1):
- This is a linear function (not quadratic) because it can be expressed in the form
.
- This is a linear function (not quadratic) because it can be expressed in the form
-
Option (2):
- This is a cubic function (not quadratic) because the highest power of
is 3.
- This is a cubic function (not quadratic) because the highest power of
-
Option (3):
- This is a quadratic function because it is in the form
with , , and .
- This is a quadratic function because it is in the form
-
Option (4):
- This is an exponential function (not quadratic) because it involves
, which is not a polynomial.
- This is an exponential function (not quadratic) because it involves
Based on this analysis, the only quadratic function among the options is:
Option (3):
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
The quadratic function from the options you provided is
. Quadratic functions are characterized by the variable
raised to the power of 2, and this function fits the bill perfectly!
Quadratic functions can be visually represented as parabolas on a graph, which means they can have an upward or downward opening. They also exhibit interesting properties like symmetry about their vertex. If you ever want to graph one, look for the vertex and the axis of symmetry—it’s like drawing a super cool roller coaster in the sky!

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