Algebra 1 Regents Review

Front

What is a leading coefficient in a polynomial expression?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does the constant term in a polynomial represent?

Back

The constant term is the term in a polynomial that does not contain any variables, representing the value of the polynomial when all variables are zero.

Front

What is the effect of the transformation g(x) = (x - 7)² on the graph of f(x) = x²?

Back

It represents a horizontal shift of the graph 7 units to the right.

Front

How does the function f(x) = (x - k)² + 5 transform the parent function p(x) = x²?

Back

It shifts the graph k units to the right and 5 units up.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, often represented by functions like f(x) = a(1 - r)^{x} where 0 < r < 1.

Front

Which of the following represents exponential decay: f(x) = 100(0.9)^{x} or f(x) = 10(1.09)^{x}?

Back

f(x) = 100(0.9)^{x} represents exponential decay.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if there exists at least one input that corresponds to multiple outputs.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.