1.4 Graphs and Transformations Flashcards
1
Q
(x - a)(x - b)
What are the coordinates of the roots?
A
(a,0) (b,0)
2
Q
y=k/x
y=k/x^2
where k is a real constant
Where are the asymptotes
A
at x=0 and y=0
3
Q
What the vector translation of y=f(x) + a and in what direction does it move?
A
( 0 )
a ) moves vertically (up and down
4
Q
What the vector translation of y=f(x + a) and in what direction does it move?
A
( -a ) horizontally (left and right)
0
5
Q
what is y= af(x)
A
A stretch by a scale factor of a in the vertical direction
6
Q
What is y = f(ax)
A
A stretch by scale factor 1/a in the horizontal direction
7
Q
what is y = -f(x)
A
A reflection in the x-axis
8
Q
What is y = f(-x)
A
A reflection in the y-axis
