Given:
The function is
Required:
Find the x-intercepts and describe the end behavior of the graph of f(x).
Step-by-step explanation:
The given function is:
To find the x-intercepts put f(x)=0
This is a quadratic equation solved by using the middle term splitting method.
Thus the x-intercept are: -1.25 and 3.
Compare the given equation with the standard equation
The vertex is (h,k).
Thus the vertex of the parabola is:
We will plot the points of the vertex and the x-intercepts and then draw the graph of the parabola as:
Here the leading coefficient a = 4>0
So the parabola opens upwards.
In the given function the degree is 2 which is even so as
Final Answer:
As explained in the explanation part.