Domanda del libro di testo
Use the graph of y = f(x) to graph each function g. g(x) = -f(x + 1) − 1
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Ch. 2 - Functions and Graphs
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 3, Problema 49
Graph each equation in a rectangular coordinate system. y = -2
Guida verificata passo dopo passo1
Identify the type of equation given. The equation \(y = -2\) represents a horizontal line because \(y\) is constant for all values of \(x\).
Understand that for any value of \(x\), the value of \(y\) will always be \(-2\). This means the line is parallel to the \(x\)-axis.
To graph the line, plot several points where \(y = -2\). For example, points like \((0, -2)\), \((1, -2)\), and \((-1, -2)\) all lie on the line.
Draw a straight horizontal line through all these points extending across the coordinate plane.
Label the line with its equation \(y = -2\) to clearly indicate which line you have graphed.
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Graphing Horizontal Lines
A horizontal line in the coordinate plane has the same y-value for all x-values. The equation y = -2 represents a horizontal line crossing the y-axis at -2, meaning every point on the line has y-coordinate -2 regardless of x.
Video consigliato:
02:35
Graphing Lines in Slope-Intercept Form
Rectangular Coordinate System
The rectangular coordinate system consists of two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical). Points are located using ordered pairs (x, y), where x is the horizontal position and y is the vertical position.
Video consigliato:
05:10Graphs & the Rectangular Coordinate System
Plotting Points from an Equation
To graph an equation, identify points that satisfy it by substituting values for variables. For y = -2, choose any x-values and plot points with y fixed at -2, then connect these points to form the line.
Video consigliato:
04:29Graphing Equations of Two Variables by Plotting Points
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