Name the Parent Function

g(x) = x 2 – 1 Quadratic

f(x) = 2|x-1| Absolute Value

h(x) = 𝑥−2 Radical

g(x) = x3+ 3 Cubic

g(x) = 1 𝑥+6 Rational

f(x) = -2x + 5 Linear

f(x) = 5 Constant

Name the Function Linear

Name the Function Constant

Name the Function Absolute Value

Name The Function Exponential

Name The Function Square Root or Radical

Name the Function Quadratic

Name the Function (Bonus) Cubic

Tell Me the Transformation Looking at the Function Remember: Flip, Left, Right, Up, Down Narrow, Wider

Flip |x| -|x|

Wider |x| 1 2 |x|

Narrower |x| 3|x|

Right |x| |x-3|

Left |x| |x+7|

up |x| |x|+3

down |x| |x|-4

Flip, Narrow, Left, Down |x| -2|x+5|-4

Wider, right, up |x| 2 3 |x-3|+2

Tell Me the Transformation Looking at just the graph Remember: Flip, Left, Right, Up, Down Narrow, Wider

Transformation Graph: Narrow Main Graph Transformation Graph:

Transformation Graph: Wider Main Graph Transformation Graph:

Transformation Graph: Moved Down Main Graph Transformation Graph:

Transformation Graph: Up, and to the Left Main Graph Transformation Graph:

Narrow, Flipped, Right, Down Main Graph Transformation Graph:

Am I a Function or Just a Relationship HOW DO YOU KNOW?

Function The x-values do not repeat

Not a Function The x-value of 4 repeats

Not a function The x-value of 6 repeats

Function The x-values do not repeat

Function Passes the vertical line test

Not a function Does not pass the vertical line test

Function Each input has one out put.

Not a function The x-value or the inputs of 5 and -3 repeat.

Not a function Does not pass the vertical line test

Quadrant info

a b Name the quadrants a. II b. I c. III d. IV c d

Give me the quadrants this graph is in I, II, and IV

Give me the quadrants that the graph is in I, II, and III

List all the names for x X but I am also know as? Domain Independent X-coordinate Input Abscissa

List all the names for y Y but I am also know as? Range Output Y-coordinate Dependent Ordinate

f(x)=x2+3 g(x)=x+3 g(4) Answer the following 7

f(x)=x2+3 g(x)=x+3 f(-4) Answer the following 19

f(x)=x2+3 g(x)=x+3 g(x)=-4 Answer the following -7

f(x)=x2+3 g(x)=x+3 f(x)=39 Answer the following X= 6 and -6

f(x)=x2+3 g(x)=x+3 g(f(2))= Answer the following 10

f(x)=x2+3 g(x)=x+3 g(f(x))=31 Answer the following X= 5 and -5

State the Domain and Range

b

b

a

b

b