Semester 1 Exam Review - Day 2

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.

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 axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a) for the quadratic f(x) = ax² + bx + c.

Front

How do you determine if a parabola opens upwards or downwards?

Back

A parabola opens upwards if the coefficient 'a' in the quadratic function f(x) = ax² + bx + c is positive, and it opens downwards if 'a' is negative.

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, represented by the value of 'c' in the equation y = mx + c.

Front

How can you find the slope of a line given two points?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which f(x) = 0, meaning it is the x-coordinate where the graph intersects the x-axis.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between maximum and minimum in a quadratic function?

Back

Maximum refers to the highest point of the graph (vertex) when the parabola opens downwards, while minimum refers to the lowest point when it opens upwards.

Front

How do you identify the equation of a line from a table of values?

Back

To identify the equation of a line from a table, look for a consistent change in y-values relative to x-values, which indicates the slope, and use a point to find the y-intercept.