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Determine which of the following equations have a graph whose y-coordinate of the y-intercept is positive....

Determine which of the following equations have a graph whose y-coordinate of the y-intercept is positive. Select all that apply.
☐ y = −x² + 7x + 9
☐ y = (x − 3)² − 1
☐ y = (x − 3)(x + 7)
☐ y = (x + 7)(x + 3)
☐ y = −2x² + 7x − 3
☐ y = (x + 2)² − 8

Answer

Set x = 0 to find the y-coordinate of each y-intercept.

  1. y = −x² + 7x + 9: y = 9. Select.
  2. y = (x − 3)² − 1: y = 9 − 1 = 8. Select.
  3. y = (x − 3)(x + 7): y = (−3)(7) = −21. Do not select.
  4. y = (x + 7)(x + 3): y = (7)(3) = 21. Select.
  5. y = −2x² + 7x − 3: y = −3. Do not select.
  6. y = (x + 2)² − 8: y = 4 − 8 = −4. Do not select.

Select the first, second, and fourth equations.

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