Question

Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.

The function in vertex form is f(x) = (x – 4)2 – 11.
The vertex of the function is (–8, 5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0, 5).
The function crosses the x-axis twice.

Answer 1

The first statement, the fourth statement, and the fifth statement are true.

Explanation:

Answer 2

Explanation:

The first statement, the fourth statement, and the fifth statement are true. The others are not.

In vertex form, looking at the first statement, you can see that the vertex is located at (4, -11), NOT (-8, 5)

The (x - 4)^2 binomial gives you the axis of symmetry, which is x = 4, NOT x = 5.