Question

points (2, -1), (-2,7), (1, -2), (0, -1), and (4,7) lie on the graph of a quadratic function.
a. what is the axis of symmetry of the graph?
b. what is the vertex?
c. what is the y - intercept?
d. over what interval does the function increase?

a. the axis of symmetry is x = 1.
(simplify your answer. type an equation.)
b. the vertex is (1, -2).
(type an ordered pair)
c. the y - intercept is
(type an ordered pair)

Explanation:

Step1: Recall y-intercept definition

The y-intercept of a function is the point where \( x = 0 \). We look for the point with \( x = 0 \) from the given points.

Step2: Identify the point with \( x = 0 \)

From the points \((2, -1)\), \((-2, 7)\), \((1, -2)\), \((0, -1)\), and \((4, 7)\), the point with \( x = 0 \) is \((0, -1)\).

Answer:

\((0, -1)\)