Pregunta
Question 1
Which answer below makes the statement true?
The vertex of a parabola is the … point if
.
O highest
lowest
Which answer below makes the statement true?
The vertex of a parabola is the … point if
O highest
lowest
Ask by Mcfarlane Reyes. in the United States
Mar 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The vertex of the parabola is the lowest point when
.
Solución
-
A parabola is defined by a quadratic function of the form
. -
When
, the coefficient is positive. This means that as the value of increases or decreases away from the vertex, the value of increases. -
Therefore, the vertex of the parabola is the minimum or
point on the graph.
Thus, the correct answer is:
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
When
, the parabola opens upwards, which means the vertex forms the lowest point of the graph. This is where the parabola changes direction, making it the minimum value of the function represented by the parabola.
Conversely, if
, the parabola would open downwards, setting the vertex as the highest point. So, always remember the vertex’s role in determining the parabola’s orientation!
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