Sign In
Identify the x-intercepts first. Then use it to find the axis of symmetry.
x-intercepts: x=2 and x=6
Axis of Symmetry: x=4
Vertex: (4,- 1)
Graph:
To graph the quadratic function given in intercept form f(x)=a(x-p)(x-q), we must start by identify the values of a, p, and q. g(x)=1/4(x-6)(x-2) ⇕ g(x)=1/4(x-6)(x-2) We can see that a=14, p=6, and q=2. Now, we will follow four steps to graph the function.
Recall that the x-intercepts of a function written in intercept form are the values of p and q. Thus, the points where our function intercepts the x-axis are (6,0) and (2,0).
We can now draw the graph of the function. Since a=14, which is positive, the parabola will open upwards. Let's connect the three points with a smooth curve.