Algebra 1 Regents Review

Front

What is the effect of the transformation f(x) = (x - k)² + 5 on the parent function p(x) = x²?

Back

The graph shifts k units to the right and moves 5 units up.

Front

How do you find the product of (3 + x) and (2x - 5) in standard form?

Back

The product is 2x² + x - 15.

Front

What type of function is used to calculate compound interest?

Back

Exponential function.

Front

In the arithmetic sequence formula a_n = a_1 + (n - 1)d, what does 'd' represent?

Back

The common difference between consecutive terms.

Front

What does the upper quartile represent in a data set?

Back

The upper quartile is the median of the upper half of the data.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c.

Front

How do you determine the vertex of a parabola given in vertex form f(x) = a(x - h)² + k?

Back

The vertex is at the point (h, k).

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

Back

The formula is S_n = n/2 * (a_1 + a_n).

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change, while quadratic functions have a variable rate of change.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.