Graphing the Equation x = y? (a) Graph the equation x = y. Find any intercepts and check for symmetry first. (b) Graph x = y² where y = 0. EXAMPLE 5

Q: Writing Equations of Lines Sketch the graph of each line below. 1. y = -1/5x – 2

A: In order to draw the graph of the given line, first determine the x and y intercept of this line as:

Q: A human cannonball is shot from a cannon at the county fair. He reaches a height of 60 feet before…

A: A human cannonball is shot from a cannon at the county fair. He reaches a height of 60 feet before…

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A: Whether the slope is upward, downward or horizontal without graphing the equation for each line:In a…

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A:

Q: Understanding the Concepts and Skills In Exercises, we identify the y-intercepts and slopes,…

A: 1)The y-intercept and slopes of the lines are b0 = -1.5 and b1 = 0The slope of the line is b1 = 0 ,…

Q: EXAMPLE 2 Testing for Symmetry Determine whether the graph is symmetric with respect to the y-axis,…

A: Given,  x2+y2=9 To check the symmetricity w.r.t. the Y-axis, X-axis, or origin.

Q: An equation is given. (a) Use a graphing calculator to graph the equation in the given viewing…

A: y=x3 The graph is,

Q: EXAMPLE 3 Finding Intercepts and Testing an Equation for Symmetry For the equation y = x² – 4 :(a)…

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Q: Understanding the Concepts and Skills In Exercises, we identify the y-intercepts and slopes,…

A: a)

Q: Yes or No? If No, give a reason. If the graph of an equation is symmetric with respect to the…

A: Answer :                                       No                       Symmetry…

Q: Could you graph it and answer A? Thank you.

A:

Q: A graph of a linear equation passes through (-2,0) and (0,-6). Use the two points to sketch the…

A:

Q: Meiosis Determine the equation of the circle graphed below. y 10 8. 2. -10 -8 -6 -2 4 8. 10 -4 -8…

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Q: y= -x-10 Graph this equation

A: Graph of the equation: - This graph depicts a line, and therefore the equation for it's y = Mx + b.…

Q: Exercise #5: Consider the equation x-1 = 2x-5. (a) Graph the following two equations. Try to do it…

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Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

A: We first graph the equations using a graphing calculator  y = −∣2x − 3∣ + 6  (violet) y=6-x (black)…

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Q: Use a graphing utility to graph the equation. Use a standard setting. y = x2 − 6x + 5 x-intercept…

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Q: Test each equation for symmetry. Find the x- and y-intercept, and sketch a graph of the equation.…

A: Given: (a) x=4-y2 (b) y=|x-2|

Q: Approximating Intercepts Using a Graphing UtilityUse a graphing utility to approximate the…

A: Given :         The equation is y = x3 - 16.   To approximate the intercepts of the equation y =…

Q: EXAMPLE 4 Graphing an Equation by Plotting Points Graph the equation by plotting points. y - |x| =…

A: Given equation is: y-x=-1 Re-arranging the terms we get, y=x-1 Then we get the table of x and y…

Q: utility with a TABLE feature. Use the table to determine at which point the graph of Y₂ crosses the…

A: Topic:- calculus

Q: Use a graphing utility to graph the equation. Identify the intercepts. y2 − x = 25   x-intercept…

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Q: Fill in the blank/s: The x-coordinate of a point where a graph crosses the x-axis is called a/an…

A: As we know The x-intercept is where a line crosses the x-axis, and the y- coordinate of such point…

Q: 4. A shopping center is located at the center of a circular village. Five kilometers north of the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Graphing an Equation by Plotting PointsGraph the equation: y = - 2x + 3

A: The given function is y = - 2x + 3

Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

A: Given equation is y=4x. (a) To test the equation for symmetry with respect to the x-axis, the y-axis…

Q: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

A: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

Q: Finding Intercepts Exercises 59-70: Determine the x- and y-intercepts on the graph of the equation.…

A: Solved below

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A: Given, A cannonball reaches a maximum height of 60 feet. The total distance the cannonball travels…

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A: Explained below

Q: DRAG AND DROP THE CORRECT EQUATION FOR EACH GRAPH INTO THE WHITE BOXES. NOT ALL OF THE PIECES WILL…

A: We have to write the equations of corresponding graphs.

Q: Sketch a graph of the equation y = x. Label three points on the graph. Describe the symmetry of the…

A: y = |x|So,y = x , x≥0        -x , x≤0at x = 0,y = 0x = 1,y = 1x = -1,y = 1x intercept, y = 0 at x =…

Q: Graphing an Equation in General Form Using Its InterceptsGraph the equation 2x + 4y = 8 by finding…

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Q: 4. Quarterback Cody can throw a football in a perfect parabolic arc to a receiver 40 yards…

A: Max height = 16 at half way = 20 Vertex of parts of ball (h, k) = (20, 16)

Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

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Q: Question 2 of 10 The graph of y= -2x + 10 is: A. a point that shows one solution to the equation. B.…

A: we have given  y = -2x + 10 we can see that it is in the form of equation of line y = mx + c  So it…

Q: The graph of an equation is shown below. (a) The x-intercept(s) are and the y-intercept(s) are (b)…

A: Given: The graph:

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A:

Q: Sketch the graph of the equation and label its intercepts.   3x−y=−9 Identify the intercepts of the…

A: X- intercept is the point where the graph touches the x-axis. Y- intercept is the point where graph…

Q: Algebraically test for symmetry. 3 - x2 = y Is the graph symmetric with respect to the x-axis? Is…

A: If we plug -y in place of y , then we get 3-x2=-yThis equation is not same as the given equation.…

Q: Graph the equation by plotting points. Verify your results using a graphing utility. Approximate the…

A: Graph the equation by plotting points. Verify your results using a graphing utility. Approximate the…

Q: y=-2/3x -1 Graph this equation

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Q: Find the x- and y-intercepts of the graph of the equation. y = 1/3x-5 x−intercept     (x, y) =…

A: Given equation: y=13x-5 To find the x- and y- intercept of the above equation. The x-intercept is…

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A: To graph the given equation

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Q: The graph of an equation is shown below.(a) The x-intercept(s) are , and the y-intercept(s)are .(b)…

A: x-intercept of y-intercept is the point at which the graph cuts the x-axis and y-axis respectively.