Answer and Explanation:
Given : The quadratic function
To find : Determine the following ?
Solution :
The x -intercept are where f(x)=0,
So,
Applying middle term split,
The x-intercepts are (4,0) and (-3,0).
The smallest x-intercept is x=-3
The largest x-intercept is x=4
The y -intercept are where x=0,
So,
The y-intercept is y=12.
The quadratic function is in the form,
On comparing, a=-1 , b=1 and c=1 2
The vertex of the graph is denote by (h,k) and the formula to find the vertex is
For h, The x-coordinate of the vertex is given by,
For k, The y-coordinate of the vertex is given by,
The vertex of the function is
The x-coordinate of the vertex i.e. is the axis of symmetry,
So, (solved above)
The axis of symmetry is .