Unit 5 Extra Practice for Flashcard

Front

What is a vertical translation in graph transformations?

Back

A vertical translation shifts the graph up or down without changing its shape. For example, a vertical translation up 2 means every point on the graph moves up by 2 units.

Front

What happens to a function when it is translated vertically down 2?

Back

The entire graph of the function moves down by 2 units, affecting all y-values.

Front

How do you simplify x^6 / x^2?

Back

You subtract the exponents: x^(6-2) = x^4.

Front

What is the result of multiplying (6x^2)(-3x^5)?

Back

You multiply the coefficients and add the exponents: 6 * -3 = -18 and 2 + 5 = 7, so the result is -18x^7.

Front

What type of graph is represented by a linear equation?

Back

A linear graph is a straight line, representing a constant rate of change.

Front

What is the value of anything raised to the power of zero?

Back

Any non-zero number raised to the power of zero is always 1.

Front

What is a horizontal translation in graph transformations?

Back

A horizontal translation shifts the graph left or right. For example, a horizontal translation left 2 means every point on the graph moves left by 2 units.

Front

How do you identify if a graph is exponential?

Back

An exponential graph shows rapid growth or decay and is characterized by a curve that increases or decreases sharply.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be neither linear nor exponential?

Back

A function that is neither linear nor exponential does not follow a straight line or an exponential curve, often showing irregular patterns.