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0. Review of College Algebra

Basics of Graphing

0. Review of College Algebra

Basics of Graphing

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Introduction to Graphs & the Coordinate System

Introduction to Graphs & the Coordinate System

Equations with Two Variables

Equations with Two Variables

Graphing Two Variable Equations by Plotting Points

Graphing Two Variable Equations by Plotting Points

Graphing Intercepts

Graphing Intercepts

Showing 5 of 5 videos

Practice this topic

Multiple Choice

Graph the equation $y-x^2+3=0$ by choosing points that satisfy the equation.

Multiple Choice

Graph the equation $y=\sqrt{x}+1$ by choosing points that satisfy the equation. (Hint: Choose positive numbers only)

Textbook Question

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.

Textbook Question

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The point (4, ________) lies on the graph of the equation y = 3x - 6.

Textbook Question

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The midpoint of the segment joining (0, 0) and (4, 4) is ________.

Textbook Question

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The circle with equation x² + y² = 49 has center with coordinates ________ and radius equal to _______.

Textbook Question

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.

Textbook Question

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2. P(-5, -6), Q(7, -1)

Textbook Question

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2. P(8, 2), Q(3, 5)

Textbook Question

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2. P(-6, -5), Q(6, 10)

Textbook Question

Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (3, 2)

Textbook Question

Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (-7, -4)

Textbook Question

Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (0, 5)

Textbook Question

Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (4.5, 7)

Textbook Question

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4. y = ½ x - 2

Textbook Question

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4. 2x + 3y = 5

Textbook Question

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4. y = x²

Textbook Question

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4. y = √x - 3

Textbook Question

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4. y = |x - 2|

Textbook Question

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4. y = x³

Textbook Question

Concept Check Answer each question. If a vertical line is drawn through the point (4, 3), at what point will it intersect the x-axis?

Textbook Question

Concept Check Match each equation in Column I with its graph in Column II. I II 47. (x - 3)² + (y - 2)² = 25 A. 48. B. 49. C. 50. D.

Textbook Question

Concept Check Match each equation in Column I with its graph in Column II. I II 47. A. 48. (x - 3)² + (y + 2)² = 25 B. 49. C. 50. D.

Textbook Question

Concept Check Match each equation in Column I with its graph in Column II. I II 47. A. 48. B. 49. (x + 3)² + (y - 2)² = 25 C. 50. D.

Textbook Question

Concept Check Match each equation in Column I with its graph in Column II. I II 47. A. 48. B. 49. C. 50. (x + 3)² + (y + 2)² = 25 D.

Textbook Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (0, 0), radius 6

Textbook Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (2, 0), radius 6

Textbook Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (0, 4), radius 4

Textbook Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (-2, 5), radius 4

Textbook Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (5, -4), radius 7

Textbook Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (√2, √2), radius √2

Textbook Question

Connecting Graphs with Equations Use each graph to determine an equation of the circle in center-radius form.

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