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?

Answer 1

Answer:

a) The Axis of Symmetry is X = 1

b) The Vertex is (1,-2)

c) X=0 at Y = -1

d) y = (x-1)^2 - 2

Step-by-step explanation:

a) This is where the graph can be divided into 2 equal parts. Since this is a parabola it is located at the origin.

b) The vertex is the lowest or highest part of the graph. With parabolas it is also the origin.

c)The y-intercept is the point where the graph passes through the y-axis or where x = 0.

d)If you look at the points (0,-1) and (2,1). They are both left/right one, up one from the origin or (1,-2). This means it is a regular y=x^2 parabola, just moved over. If it was up two or three (etc) it would be up two or three, respectfully.