Question

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

B: What is the axis of symmetry for g(x)? Show the work steps.

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

Answer 1

Answer: The axis of symmetry is x=1.

Step-by-step 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=-(b)/(2a)`

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

`x=-((-10))/(2(5))`

`x=(10)/(10)`

`x=1`

Therefore, the axis of symmetry is x=1.