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6 votes
6 votes
Plot the vertex of f(x) = (x − 2)2 + 2.
PLEASE HELP ME IM UPSET

User WhiteHorse
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1 Answer

28 votes
28 votes

Answer: The vertex is located at (2, 2)

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Step-by-step explanation:

The general vertex form is

y = a(x-h)^2 + k

When we compare the function your teacher gave you to this template, then we see that

  • a = 1
  • h = 2
  • k = 2

The vertex is therefore (h,k) = (2,2)

The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).

User Slorinc
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3.2k points