Unit 5&6 Review Day 2

Front

What is the transformation of the function g(x) = 5x^2 + 2 from the parent function f(x) = x^2?

Back

Vertical Stretch of 5 and Up 2.

Front

What is the horizontal asymptote of the function?

Back

y = 0.

Front

What does the transformation f(x-2) represent?

Back

2 Units Right.

Front

If a function moves left 2 units, which equation corresponds to this transformation?

Back

B.

Front

What transformation occurs when f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

Define vertical stretch in the context of transformations.

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1.

Front

What is a horizontal asymptote?

Back

A horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

Explain the effect of a vertical translation on a function's graph.

Back

A vertical translation shifts the graph up or down without changing its shape.

Front

What does a transformation of f(x) + 3 indicate?

Back

The graph of f(x) is shifted up 3 units.

Front

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

Back

It reflects the graph across the x-axis.