Question

What statement are true about this graph?The y intercept is (0,-6)The maximum value is 4The axis of symmetry is the line x=4The range is {2, infinity}The domain is (-infinity, infinity )The vertex is (4,2)

Answer 1

We are given the graph of a parabola. In this parabola we have that when x = 0, y = -6, this means that the y-intercept is (0, -6). We also notice that the line that divide the parabola into two equal parts is x = 4, therefore, the axis of symetry is x = 4. Since a parabola is a polynomial function this means that the domain is from minus infinity to infinity. And , also the vertex of this parabola (themaximum point) is the point (4, 2).