Question

The graph below shows the quadratic function f, and the table below shows the quadratic function g.

Answer 1

The axis of symmetry of a parabola is the line which divides the parabola into two equal sides that are refrections of each other.

The axis of symmetry of a parabola is a line that cuts through the vertex of the parabola.

From the given graph, the axis of symmetry of the quadratic function (f) is the line x = 2 and from the table, the axis of symmetry of the quadratic function (g) is the line x = 2.

The y-intercept of a function is the value of the function when x = 0, it is represented by the point at which the graph of the function crosses the y-axis.

From the given graph, the y-intercept of the quadratic function (f) is 0 and from the table, the y-intercept of the quadratic function (g) is 8.

Therefore, the functions f and g have the same axis of symmetry, and the y-intercept of f is less than the y-intercept of g.