Y intercept: At the point
Axis of symmetry: At
Vertex: At the point
Let's have a look at the y-intercept first:
Y intercepts where x =0.
Therefore, substitute all x variables with 0 and solve for "y".
Therefore, the y intercept is present at the point (0,1)
Now let's have a look at the vertex:
Note: I'll use the terms Turning Point and Vertex interchangeably as they are the same thing.
Consider the general form of a parabolic function:
If we compare the equation that you have presented:
We can determine that:
The constant term is 1; this implies that
Therefore, we can use the formula:
Substituting the appropriate values into the formula we get:
Simplifying the function we get:
Therefore, the vertex of the function is present at the point
Finally, let's have a look at the axis of symmetry:
The axis of symmetry is essentially the
If we have determined the