Question

For the quadratic equations shown here, which statement is true?

Answer 1

Answer:

1. opens upward; axis of symmetry is x = 5
2. opens upward; axis of symmetry is x = 5
3. opens upward; axis of symmetry is x = 5
4. opens downward; axis of symmetry is x = 5

Step-by-step explanation:

The equation of a quadratic in vertex form is ...

  y = a(x -h)² +k

The coordinates of the vertex are (h, k), which means the axis of symmetry is x=h. All of your equations have h=5, so their axis of symmetry is x = 5.

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For a > 0, the parabola opens upward; for a < 0, it opens downward. The first three equations have a > 0, so open upward. The last one opens downward.