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8-68.
  1. The roots (x-intercepts) of y = 2x2 − 16x + 30 are (3, 0) and (5, 0). Homework Help ✎

    1. What is the x-coordinate of the vertex? How do you know?

    2. Use your answer to part (a) above to find the y-coordinate of the vertex. Then write the vertex as a point (x, y).

The x coordinate of the vertex is halfway between 3 and 5.

x = 4

Substitute the vertex value of x back into the original equation to find y.

y = 2(42) − 16(4) + 30

Solve for y.

y = −2

Coordinates = (4, −2)