Explain the difference between the axis of symmetry and the vertex:

Q: Plot the points from the table onto the coordinate plane below. y -5 3 -3 -4 -4 -1

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Q: What is the equation of the axis of symmetry?

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Q: The question is also asking for the two points that define the latus rectum as well as graphing.

A: Given: focus at (-5,-4) directrix x=1

Q: Explain why you cannot draw a line of symmetry in this picture

A: We have to write about symmetry

Q: Can you describe a situation where the reflecting a graph across the y-axis doesn't change it?

A: Yes there are such functions where the reflection across the x-axis does not change. The situation…

Q: What is the relationship between the sign of p and the position of the focus from the vertex?

A: Given: relationship between the sign of p and the position of the focus from the vertex

Q: Graph the Circle (x + 2)² + (y + 2)² = 9

A: Here we have to graph the circle having equation,  compare with,

Q: Graph the equation in a coordinate plane by plotting points. (a) y = x + 2 (b) y = 4 – x?

A: a) Given, y=x+2 This is the equation of line we need to find two points. Thus, x y=x+2 0 2 2…

Q: graph the circle: (x-2)2+(y+3)2=9

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Q: Find the equation of the perpendicular bisector of the segment joining points (-2, -3) and (2,5).

A: To find:- Equation of the perpendicular bisector of the segment joining points (-2, -3) and (2,5).

Q: Plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane.

A: To plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane. Given…

Q: What are the coordinates for point B and point C?

A: The initial coordinates are: They are first translated to the right by 9 units which is along…

Q: Plot the given point (-4, 0) in a rectangular coordinate system.

A: Given: The point  (-4,0). We have to plot the point (-4,0)  in the rectangular coordinate systems,…

Q: Test y = 2x3 for symmetry with respect to both axes and the origin.

A: Given: y = 2x3 To test: The symmetry of given function with x - axis, y - axis and origin.

Q: Find an ordered pair (x,y)2x+y=3

A: To give an example of values (of x and y) satisfying the given equation

Q: Summarize the difference between a rhombus and a square

A: Summarize the difference between a rhombus and a square

Q: What is meant by the conjugate axis and focal axis?

A: To define conjugate axis and focal axis.

Q: Sketch a graph of the plane 2x + y = 8 and label any intercepts.

A: 2x + y = 8 x intercept:    Put y = 0 2x + 0 = 8 2x = 8 x = 4 x intercept is (4, 0).

Q: What is the shape of the graph of the catenary?

A: According to the question, we have to find the shape of the graph of the catenary. Catenary, in…

Q: Use example to describe what is meant by Mathematics of Planar Projections

A: planer projection: planer projection finds the shortest distance between two points. they are…

Q: Describe what is similar about the coordinates of pointswhose graph lies on the y­axis.

A: Given, Describe what is similar about the coordinates of pointswhose graph lies on the y­axis.

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Determine graphically, the vertices of the triangle formed by the lines y =3,    x = 3y, and x + y =…

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Q: Andrew is using a coordinate plane to program two avatars in a video game. In the game, one avatar…

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Q: Which equation best represents the AXIS OF SYMMETRY?

A: From the graph vertex of parabola is ( 2 , 6 ) And parabola is opens downward

Q: What are the different steps involved in plotting the coordinates on the graph?

A: The first number in the ordered pair (x, y) is called the x –coordinate and second point is called…

Q: find the Vertex and The axis of Symmetry

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Q: What is the ordered pair of the point that is located four units to the left of the origin and three…

A: Answer is  (4, 3)

Q: What is the y interceptor the correct graph? What is the y intercept of the incorrect graph? Are the…

A: Let the point at which the graph intersects the y-axis is (0,b). Then, the y-intercept is the…

Q: Graph the rhombus ABCD with A(-1,-1), B(0,2), C(3,3), D(2,0), and its image after translation . What…

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Q: Explain how you would determine whether three planes intersect in a line.

A: Let's assume the equations of three planes 1. a1x+b1y+c1z+d1=0 2. a2x+b2y+c2z+d2=0 and 3.…

Q: Find the coordinates of the point on the graph of y = Vx that is closest to the point (20, 0). Write…

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Q: Find the areas of the parallelograms whose vertices are A(1, 0), B(0, 1), C(-1, 0), D(0,-1)

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Q: Graph x – y = 3 and (x – 2) + (y + 3) = 4 in the same rectangular coordinate system. What are the…

A: The equation x-y=3 represents a straight line. The equation (x-2)2+(y+3)2=4 represents a circle with…

Q: The corners for a fence are located at A (11,3), B (3,-11), C (-13,-9), and D (-5,9). What is the…

A: Any point on the cartesian coordinate system is represented by the ordered pair: x,y. Start from the…

Q: Decide whether or not the points are the vertices of a right triangle. (8,-4), (10, 0), (12, -1)

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Q: graph is planar,

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Q: What does the X axis and Y axis represent?

A: Given: define the x-axis and y-axis.

Q: Look at the coordinate grid below. Which point corresponds to the ordered pair (-3, 5)? point H…

A: from graphCordinate of point  H⇒(5,-3)  G⇒(3,-5)

Q: Find axis of symmetry

A: The axis of the symmetry is the axis about which the figure is symmetric. The shape of the figure is…

Q: Is the point (−3, 0) on the x-axis or y-axis? How do you know? Explain

A: we have to identify the point (-3, 0) on the x-axis or y-axis

Q: Plot the ordered pair (-2,6) on the rectangular coordinate plane. 40- Plot (- 2,6). 10 of

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Q: In the standard (x, y) coordinate plane, if a square has the vertices (-2,-3), (2,–3), and (2,1),…

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Q: 6 3 2x + y – 5z =0 and -4|+t| -2 || నా

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Q: What is the vertex, the focus, directrix, and line of symmetry for 4 (y – 2) = (x + 1)2?

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Q: Explain the process you would use to determine the type of intersection that occurs between a line…

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Q: What are the coordinates of the y-intercept?

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Q: What is the vertex? *

A: Vertex of a parabola: It is defined as the point of intersection of the parabola  & its line of…

Q: What is the altitude of the plane?

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