Alg1B QTR 2 Benchmark Rev Topics 1-9

Front

What is the vertex of a parabola and how can you determine if it opens up or down?

Back

The vertex of a parabola is the highest or lowest point on the graph. If the coefficient of the squared term is positive, the parabola opens up; if negative, it opens down.

Front

What is a rational number? Give an example.

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers. Example: 1/4.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept of a function, set x = 0 and solve for y.

Front

What does the transformation g(x) = f(x) + k represent?

Back

The transformation g(x) = f(x) + k represents a vertical shift of the graph of f(x) by k units. If k is positive, the graph shifts up; if negative, it shifts down.

Front

What does it mean if two equations have no solution?

Back

If two equations have no solution, it means their graphs are parallel and will never intersect.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you determine the number of solutions for a system of equations?

Back

You can determine the number of solutions by analyzing the graphs of the equations: one intersection point means one solution, no intersection means no solution, and overlapping lines mean infinite solutions.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, indicating the value of y when x = 0.

Front

What does it mean for a function to be transformed vertically?

Back

A vertical transformation occurs when the entire graph of the function is shifted up or down without changing its shape.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x-h)² + k, where (h, k) is the vertex of the parabola.