3. Graphs and transformations

Question 1

constant function

Answer 1

f(x)=c

Question 2

identity function

Answer 2

f(x)=x

Question 3

quadratic functions
when and how positive?

Answer 3

Question 4

reciprocal function

Answer 4

Question 5

cubic function

Answer 5

Question 6

asymptote

Answer 6

values approach, but never reach

Question 7

positive square root function

Answer 7

Question 8

translation

Answer 8

the graph moves along y or x axis

Question 9

transformation

Answer 9

the shape of the graph changes. it stretches or squashes

Question 10

f(x) − c:

Answer 10

The graph of f(x) is translated by c units in the -y direction.

Question 11

f(x) + c:

Answer 11

The graph of f(x) is translated by c units in the positive +y direction.

Question 12

f(x + c):

Answer 12

The graph of f(x) is translated by c units in the -x direction.

Question 13

f(x − c):

Answer 13

The graph of f(x) is translated by c units in the +x direction.

Question 14

cf(x), c > 0:

Answer 14

The graph of f(x) is stretched by a factor of c in the +y direction, about the x-axis.

foto

Question 15

f(cx), c > 0:

Answer 15

The by a factor of 1/c in the +x direction, about the y-axis

Question 16

f(−x):

Answer 16

The graph of f(x) is reflected about the y axis.

Question 17

−f(x):

Answer 17

The graph of f(x) is reflected about the x axis.