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is the function written in vertex or standard form? (f(x) = -x^2 + 4x -…

Question

is the function written in vertex or standard form?

(f(x) = -x^2 + 4x - 3)

vertex
standard

Explanation:

Define standard form

Using the Quadratic Functions knowledge point

$$ f(x) = ax^2 + bx + c $$

Define vertex form

Using the Quadratic Functions knowledge point

$$ f(x) = a(x-h)^2 + k $$

Match the given function

Using the Quadratic Functions knowledge point

$$ f(x) = -x^2 + 4x - 3 \implies a = -1, \quad b = 4, \quad c = -3 $$

Answer:

  • Vertex
  • Standard (Correct answer)