Algebra EoC Vocabulary

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions (or roots) of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What type of slope does a line with a downward trend have?

Back

A line with a downward trend has a Negative slope.

Front

What are the x-intercepts of a quadratic equation known as?

Back

The x-intercepts of a quadratic equation are known as the zeros.

Front

What type of graph is represented by the equation y = 2^x?

Back

The graph represented by the equation y = 2^x is an Exponential graph.

Front

If the graph of y = ax² + bx + c opens upwards, what can we say about the value of 'a'?

Back

If the graph opens upwards, then a > 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the highest or lowest point of the graph, depending on whether it opens upwards or downwards.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and are represented by a straight line, while quadratic functions have a variable rate of change and are represented by a parabola.

Front

What does it mean if a quadratic equation has no real solutions?

Back

If a quadratic equation has no real solutions, it means the discriminant (b² - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).