Question

What is the equation for the axis of symmetry of the graph of this function?

F x = -3
G y = -3
H x = -5
J y = -5​

Answer 1

The equation for the axis of symmetry of the graph of this function is: F. x = -3.

In Mathematics and Euclidean Geometry, the standard form of a quadratic function is represented by the following equation;

`y = ax^2 + bx + c`

Where:

• x and y represents the data points on the graph.
• a represents the leading coefficient.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

• a and b represents the coefficients of the first and second term in the quadratic function.

Based on the graph, we can logically deduce that the axis of symmetry is the midpoint between -6 and 0;

x = (-6 + 0)/2

x = -3