1.1 Parent Functions and Transformations

Question 1

Function Notation

Answer 1

A way to write a function when one variable is expressed in terms of another

Question 2

Parent Functions

Answer 2

The most basic function in a family

Question 3

Constant

Answer 3

f(x)=1

Question 4

Linear

Answer 4

g(x)=x

Question 5

Absolute Value

Answer 5

h(x)= IxI

v shaped graph

Question 6

Quadratic

Answer 6

k(x)=x^2

U shaped graph

Question 7

Transformation

Answer 7

Changes the size, shape, position or orientation of a parent function

Question 8

Translation

Answer 8

A transformation that shifts a graph vertically and/or horizontally, but does not change its shape or size

Question 9

Changes from parent function:

Number added/subtracted to input INSIDE grouping

Answer 9

• Moves right/left-affects the x value

- Goes in opposite direction than you would expect based on +/-

Question 10

Changes from parent function:

Number added/subtracted to input OUTSIDE grouping

Answer 10

• Moves up/down-affects y value

- Goes in direction you wou;d expect based on +/-

Question 11

Vertical Stretches and Shrinks

Answer 11

widens or narrows the graph

Question 12

Changes from parent function:

When the factor is greater than 1

Answer 12

• Grpah stretches vertically=narrrow

- Increases faster

Question 13

Changes from parent function:

When factor is between 0 and 1

Answer 13

• Graph shrinks vertically=wider

- Increases slower

Question 14

Reflections

Answer 14

a transformation that flips a graph over a line called the line of reflection

Question 15

Changes from the Parent Function

Negative of the parent function

Answer 15

Reflects the graph over the x axis