Based on the quadratic curve shown on the diagram below, the correct equation for this line is x = 4.
In Mathematics and Euclidean Geometry, the axis of symmetry or line of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, x = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By critically observing the quadratic curve shown on the diagram below, we can logically deduce that the line of symmetry passes through the point (4, 0). Therefore, it must be represented by a vertical line and modeled by the following equation:
x = 4.
Complete Question:
The line of symmetry for a quadratic curve is shown on the diagram. Choose the correct equation for this line from the list below.
y = 4 x = 4 x = 7 y = 7 x = 1