Question

Three functions are given below: f(x), g(x), and h(x).

Answer 1

Answer: The axis of symmetry is x=1.

Explanation:

The given function is,

$g(x)=5x^2-10x+7$

The degree of the equation is 2.  SInce it is a quadratic function therefore the graph of the function is a parabola.

The axis of symmetry of a parabolic function $f(x)=ax^2+bx+c$ is a vertical line,

$x=-\frac{b}{2a}$

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,

$x=-\frac{(-10)}{2(5)}$

$x=\frac{10}{10}$

$x=1$

Therefore, the axis of symmetry is x=1.