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Ava graphs the function h(x) = x² + 4. Victor graphs the function g(x) = (x + 4)². Which statements are...

Ava graphs the function h(x) = x² + 4. Victor graphs the function g(x) = (x + 4)². Which statements are true regarding the two graphs? Select three options.
Ava's graph is a vertical translation of f(x) = x².
Victor's graph is a vertical translation of f(x) = x².
Ava's graph moved 4 units from f(x) = x² in a positive direction.
Victor's graph moved 4 units from f(x) = x² in a positive direction.
Ava's graph has a y-intercept of 4.

Answer

Select options 1, 3, and 5.

  1. Ava's graph is a vertical translation of f(x) = x²: it shifts upward 4 units.
  2. Ava's graph moved 4 units in the positive vertical direction.
  3. Ava's graph has a y-intercept of 4 because h(0) = 4.

Victor's graph shifts 4 units left, a horizontal translation in the negative direction, so options 2 and 4 are false.

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