Question

What are the key points on the graph of y=x2−16x+48? Name the vertex, x-intercepts, and y-intercept.

Answer 1

For y = x^2 − 16x + 48:

- Vertex: (8, −16) (x = −b/(2a) = 8; y = 8^2 − 16·8 + 48 = −16)
- x-intercepts: (4, 0) and (12, 0) (factors: (x − 4)(x − 12) = 0)
- y-intercept: (0, 48) (plug x = 0)