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Identify the x-intercepts first. Then use it to find the axis of symmetry.
x-intercepts: x=- 1 and x=3
Axis of Symmetry: x=1
Vertex: (1,- 4)
Graph:
To graph the quadratic function given in intercept form f(x)= a(x- p)(x- q), we must start by identifying the values of a, p, and q. y=(x+1)(x-3) ⇕ y= 1(x-( - 1))(x- 3) We can see that a= 1, p= - 1, and q= 3. 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 ( - 1,0) and ( 3,0).
We can now draw the graph of the function. Since a= 1, which is positive, the parabola will open upwards. Let's connect the three points with a smooth curve.