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U2L2: Factors and Zeros - Matching Activity (10/26) Possible Functions: y = (x - 5)(x - 4)(x + 1) + 3 y =...

U2L2: Factors and Zeros - Matching Activity (10/26)
Possible Functions:
y = (x - 5)(x - 4)(x + 1) + 3
y = (x - 5)(x + 4)(x - 3)
y = (x - 5)(x - 4)(x - 3)
y = (x - 5)(x + 4)(x + 3)
y = (x + 5)(x - 4)(x - 3)
y = (x + 5)(x - 4)(x + 3)
y = (x + 5)(x + 4)(x - 3)
y = (x + 5)(x + 4)(x + 3)
Possible Graphs:
A graph with x-intercepts -4, -3, and 5.
A graph with only positive x-intercepts.
A graph with x-intercepts -4, 4, and 5.
A graph with only negative x-intercepts.

Answer

  1. y = (x - 5)(x - 4)(x + 1) + 3: This function does not match any graph with specific x-intercepts due to the +3, which shifts the graph vertically.

  2. y = (x - 5)(x + 4)(x - 3): Matches the graph with x-intercepts -4, 3, and 5.

  3. y = (x - 5)(x - 4)(x - 3): Matches the graph with only negative x-intercepts.

  4. y = (x - 5)(x + 4)(x + 3): Matches the graph with x-intercepts -4, -3, and 5.

  5. y = (x + 5)(x - 4)(x - 3): Matches the graph with x-intercepts -4, 4, and 5.

  6. y = (x + 5)(x - 4)(x + 3): Matches the graph with x-intercepts -4, -3, and 5.

  7. y = (x + 5)(x + 4)(x - 3): Matches the graph with x-intercepts -4, 4, and 5.

  8. y = (x + 5)(x + 4)(x + 3): Matches the graph with only positive x-intercepts.

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