Expert I Graphing (11) Flashcards
Be able to graph functions in the form y = a(x-p)^2 + q and state what each letter means.
a = vertical stretch and if positive it opens up, if negative it opens down
p = horizontal component of translation
q = vertical component of translation
The coordinates of the vertex are (p,q) and thus the axis of symmetry is at x = p
know what y = x^2 looks like and then apply the stretches and the transformation to get the new graph
You can also find the x intercepts by setting y=0
And find the y intercept by setting x=0 be careful to not just assume this is q since it rarely is (students make this error since it looks similar to a linear equation and b used to be the y-intercept)
Make sure you know how to list the domain and range of the function in both set notation and interval notation.
Be able to convert from y = ax^2 + bx + c into y = a(x-p)^2 + q by completing the square. This will enable you to analyze the graph using your knowledge from the other form.
