The roots (x-intercepts) of y = 2x2 − 16x + 30 are (3, 0) and (5, 0). Homework Help ✎
What is the x-coordinate of the vertex? How do you know?
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)