Question

Points from a quadratic function are given in the table. x f(x)-3 -11-2 -1-1 50 71 52 -1a) What is the vertex of the function? b) What is the equation of the axis of symmetry? c) List two sets of symmetric points: & and d) The graph crosses the x-axis between -2 and -1. It crosses it again between e) The y-intercept of the graph is f) Follow the pattern in the table: When x = 3, y = 1 g) Does this function have a maximum or a minimum? h) What is the point that is symmetric to (-3, -11)? .

Answer 1

Given the points from a quadratic function.

Firstly, let us plot the points;

Above is a graph shown each of the ponts;

a) The vertex of the function.

It is the point at which the function on the graph changes direction.

For the given function, the vertex is at point;

`(0,7)`

b) The equation od the axis of symmetry.

this is the line that divides the function on the graph into two equal halves.

For the given function, the axis of symmetry is at;

`x=0`