Algebra 1
Practice Vocabulary
https://www.studystack.com/flashcard-110557
Exponential: Being raised to the power of x; becoming more and more rapid
Exponential Growth: Occurs when the value of b > 1 []
Exponential Decay: Occurs when the value of b is 0<b<1 []
Growth Factor: The b value of an exponential function; 1 + r [1 plus the rate]
Decay Factor: The b value of an exponential function; 1 – r [1 minus the rate]
Horizontal Asymptote: A horizontal line that the exponential function approaches but can never cross; in the form
Quadratic Function: A function that is being raised to the second power; []
X-Intercepts: The points where the line crosses the x-axis; solutions; zeros; roots; solve
Vertex: The highest or lowest point on a parabola; the point where the parabola changes direction.
Y-Intercept: The point where the line crosses the y-axis; starting point
Axis of Symmetry: An invisible vertical line that divides the parabola into two equal segments; in the form
Maximum: The y-value of the vertex when it is the highest point on the parabola; parabola opens downward
Minimum: The y-value of the vertex when it is the lowest point on the parabola; parabola opens upward
Root: A way to describe the x-intercept
Vertical Compression: Makes the parabola wider
Horizontal Compression: Makes the parabola narrower
Parabola: The U shape of a quadratic function
Discriminant: A way to determine the number of roots in a quadratic function;
Quadratic Formula:
Quadratic Parent Function:
Vertex Form: where = Vertex (*h lies and k tells the truth)
System of Linear Equations: A set of two linear equations.
Solution to a System of Linear Equations: The point where the two lines intersect.
Parallel Lines: Two lines that never interest; they have the same slope.
Perpendicular Lines: Two lines that intersect to form right angles; slope are opposite reciprocals.
Slope: Constant rate of change; the change in y over the change in x; rise over run; ;
Opposite reciprocals: Opposite means change the sign; reciprocal means flip the fraction; the product of opposite reciprocals is -1; describes the slopes of perpendicular lines
Rate of Change: Describes the slope of a line; steepness; incline
Linear Equation: An equation that forms a straight line on the graph
Linear Parent Function:
Linear Inequality: An inequality that involves a linear function.
Inequality: A mathematical sentence in that involves two values that are not necessarily equal.
Greater Than:
Less Than:
Greater Than or Equal To:
Less Than or Equal To:
Solution of an Inequality: Any value(s) that makes the inequality true.
Solution of a System of Inequalities: The points that satisfy both linear inequalities; a point that is in both shaded areas of the inequalities
Slope-Intercept Form:
Standard Form:
Point-Slope Form:
Y-Intercept: Starting point; the “b” in a linear function; when
X-Intercept: The point where the line crosses the x-axis; when
Domain: The set of all of the x-values.
Range: The set of all of the y-values.
Input: The X values; Independent; Domain; Happens 1st
Output: The Y values; Dependent; Range; Happens 2nd
Independent Variable: X; Input
Dependent Variable: Y; Output
Zero of a Function: The x-intercept; when
Function Notation: ; y is a function of x; y depends on x
Continuous Graph: A graph that is represented by a smooth line, no gaps
Discrete Graph: A graph that is represented by set points; not connected
Transformation: A change that occurs on a graph; Changing the slope changes the steepness; Changing the y-intercept shifts the graph up or down
Translation: Slide; Changing the y-intercept
Reflection: Creates a mirror image of the graph over a given line or axis
Function: A relation in which each x value (input) has one and only one y value (output)
Vertical Line Test: A way to determine if a relation represents a function; the vertical line can only cross the graph at one point
Scatterplot: A type of graph that uses set points to display information.
Positive Correlation: A scatterplot where the points all move in the upward direction.
Negative Correlation: A scatterplot where the points all move in the downward direction.
No Correlation: A scatterplot where the points do not have a trend in either direction.
Trend Line: A line that you can draw through all of the points in an upward or downward direction.
Line of Best Fit: A straight line that best represents the data on a scatterplot; Helps you makes predictions about and analyze the data