Parent Functions and Transformations

Front

What is the parent function for an absolute value function?

Back

f(x) = |x|

Front

How do you graph the inequality y > 2?

Back

Solid line, shade above.

Front

What is the value of f(7.5) for the function f(x) = 2x - 10?

Back

2

Front

What is the parent function for a cubic function?

Back

f(x) = x^3

Front

What is the range of the function f(x) = x^2?

Back

y >= 0

Front

What is the parent function for a quadratic function?

Back

f(x) = x^2

Front

How do you graph the inequality y < 3?

Back

Dashed line, shade below.

Front

What is the transformation of f(x) = x^2 when it becomes f(x) = (x - 3)^2 + 2?

Back

Shift right 3 units and up 2 units.

Front

What is the parent function for a linear function?

Back

f(x) = x

Front

What is the effect of a negative sign in front of a function, such as f(x) = -|x|?

Back

It reflects the graph across the x-axis.