alg2a BB flashcard 1.4

Front

What is the transformation of f(x) to f(-x) - 4?

Back

Reflection over the y axis and 4 units down.

Front

Describe the transformation of y = g(x) for the function y = 2g(x - 3) + 5.

Back

Shifted right 3 units, stretched vertically by a factor of 2, shifted up 5 units.

Front

Which equation describes the transformation of shifting f(x)=x^3 two units right?

Back

(x - 2)^3.

Front

If the blue is f(x)=x^2, what is the red function g(x)?

Back

g(x)=(x-3)^2.

Front

Which equation describes the transformation of shifting f(x)=x^3 three units left?

Back

(x + 3)^3.

Front

What does a vertical stretch by a factor of 2 do to the function g(x)?

Back

It multiplies the output of g(x) by 2, making it steeper.

Front

What is the effect of shifting a function left by 3 units?

Back

The function g(x) becomes g(x + 3).

Front

How does the transformation y = g(x) + 5 affect the graph of g(x)?

Back

It shifts the graph of g(x) up by 5 units.

Front

What is the transformation of f(x) to f(x) - 4?

Back

It shifts the graph of f(x) down by 4 units.

Front

What does the transformation f(-x) represent?

Back

A reflection of the graph of f(x) over the y-axis.