How do you graph and label the vertex and axis of symmetry #y=x^2+2x#?
1 Answer
See below.
Explanation:
To graph we need to find significant points.
The y axis intercept occurs where
So:
Factor
So parabola intercepts
Since you need to label vertex and axis of symmetry you will need to arrange
Where
To do this place a bracket around the terms containing the variable.
Factor out the coefficient of
Add the square of half the coefficient of
Make
We now have:
We can now see that the axis of symmetry is
Minimum value is
We know this is a minimum value because the coefficient of
Since the coordinates of the vertex is ( axis of symmetry, max/min value).
We have:
Graph of
graph{y=x^2+2x [-5, 5, -3, 5.625]}