Parent Functions and Transformations

name that parent function

100

this parent function's graph looks like a "V"

What is absolute value

200

this parent function's graph is "U" shaped

What is Quadratic/Parabola

300

This parent function's graph looks like a straight line

What is LINEAR

400

This parent function's graph looks a curve that grows slower and slower?

What is Square Root

500

The parent function of y = x^2 +7 is?

Quadratic/Parabola

Describe Translation

100

f(x) = x² ---> f(x) = (x)²+2

Up 2

200

f(x) = (x + 7)²-1

Left 7, Down 1

300

f(x) = -|x+2|

Opens downwards, left 2

400

f(x)= √(x+6)+3

Left 6, Up 3

500

f(x) = -lx -3l -527

Opens downwards, right 3, down 527

Write the equation

100

Parabola function moved up 7 units

What is f(x) = x² + 7

200

Parabola moved right 53 and up 1

What is f(x) = (x-53)^2 + 1

300

Parabola opening downwards, right 3, and up 1

What is f(x) = -(x -3)+1

400

Absolute value moved left 2 units and down 35 units

f(x) = lx+2l -35

500

Absolute value moved right 15, up 11, opening upside down, and growing twice as fast.

What is f(x) = -2lx - 15l +11

Random Trivia

100

Who plays Spider-Man in the most recent Marvel movies, starting with Spider-Man: Homecoming?

Tom Holland

200

What is the largest bone in the body?

Femur

300

Which actor played Ken in the 2023 Barbie movie?

Ryan Gosling

400

What is the currency of Japan

Yen

500

What is the name of Batman's butler?

Alfred