Question

Hi, can you help me to solve this problem, please !!!

Answer 1

Axis of Symmetry for a Parabola

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry always passes through the vertex of the parabola.

So we only need to find the x-coordinate of the vertex of the parabola.

A parabola is the graph of a quadratic function as follows:

`y=ax^2+bx+c`

The x-coordinate of the vertex is given by:

`x_v=-(b)/(2a)`

We are given the function:

`y=x^2-5x`

Here we have the values: a = 1, b = -5, c = 0.

Calculating:

`\begin{gathered} x_v=-(-5)/(2(1)) \\ x_v=(5)/(2) \end{gathered}`

Thus, the axis of symmetry of the parabola is x = 5/2