Answer:
The x-intercept is (3,0).
The vertex of the function is (3,0).
Step-by-step explanation:
Given : Function
To find : What are the x-intercept and vertex of this quadratic function?
Solution :
Function
The x-intercept is when g(x)=0.
i.e.
Divide by -5 both side,
Taking root both side,
Add 3 both side,
The x-intercept is (3,0).
The general vertex form of the quadratic function is
where, (h,k) is the vertex
Compare the given function
a=-5 , h=3 and k=0
The vertex of the function is (3,0).