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question 1 - 14 which of the following represents the minimum(s) of the…

Question

question 1 - 14
which of the following represents the minimum(s) of the graph shown below?
(-3,5)
(-5,0) and (-1,0)
(-5.5,-8) and (-0.5,-8)
there is no minimum

Explanation:

Step1: Analyze the graph's direction

The parabola opens downward. For a parabola opening downward, it has a maximum point (vertex) and no minimum point in the entire domain.

Step2: Check the options

  • Option $(-3,5)$ is the vertex (maximum).
  • Option $(-5,0)$ and $(-1,0)$ are the x - intercepts.
  • Option $(-5.5,-8)$ and $(-0.5,-8)$ are just points on the graph but not minima.

Answer:

There is no minimum