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inessss [21]
2 years ago
6

Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?

Mathematics
1 answer:
erik [133]2 years ago
5 0

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:

  • The vertex of the graph is (h,k).
  • The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
  • The value of <em>h</em> determines how far left or right the parent function is translated.
  • The value of<em> k</em> determines how far up or down the parent function is translated.

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.

Please mark my answers as the Brainliest if you find this helpful  :)

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