10 -10 10 Determine the axis of symmetry of the quadratic function. A) y 2 B) X- 2 C) X-0

Q: The vertices of a square are H(0, 2), I(2, 0), J(0, - 2) and K(-2, 0).

A: Transformation of a function: A function transformation takes whatever the fundamental function f…

Q: 17.) What is the vertex of y = - | x | - 2? a. (0, -2) b. (0,2) c. (2, 0) d. (2, -2)

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Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: We have to find the geometric description of the set of points in space whose coordinates satisfy…

Q: .A mathematical model can be used to describe the relationship between the number of feet a car…

A: a. Put x=1  &  y=46 in y=ax2+bx+c, we get a+b+c=46  →1 Put x=2  &  y=84 in y=ax2+bx+c, we…

Q: 10 6+ 4- 2/ 10 -8 -6 -4 2 4 6 8 10 -2 -4 -8 -10- -12+ Does the graph open up or down? Does the graph…

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Q: 1. Fill in the chart for each of the following quadratic equations: Quadratic Function Direction of…

A: These are the equation of parabola which are symmetric about  their axis

Q: 9. What on does the discriminant give about a quadratic relation?

A: Given,            Discriminant of a quadratic equation.

Q: Gues ALGEBRAI PRACTICE/ SECTION 1/ 40F 9 In the following table, indicate which of the relationships…

A: Verify the features in the relationships J and K. 1. A distance of 5 units between its x-intercepts.…

Q: In Exercises 94–97, determine whether each statement is true or false. If the statement is false,…

A: No quadratic functions have a range of (-∞, ∞) The vertex of parabola described by f(x) =2(x-5)2-1…

Q: A farmers market is set up as a quadrilateral bounded by four streets shown in the table. Classify…

A: Let,  L1:-2x+3y=18 represents Taft road L2:y3=-x-5 represents Harding lane.  L3:3y=2x+6 represents…

Q: 1. Describe the set of points in space whose coordinates satisfy the given inequalities or combi-…

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Q: 7. How many points of intersection exist between y= x' +4x2- 2x - 5 and y = 3? %3D None B. One Two…

A: To find the number of intersection of the given curves  y = x3 + 4x2 - 2x -5  and y = 3

Q: 9. What is the value of k when writing the quadratic function y = x² + 10x – 17in vertex form? а. 22…

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Q: a client's current backyard plan. 15 14 Upon close inspection, the architect concludes that the…

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Q: 15+ 14- 13 -12-4 41- -10 -9- -8 -7 6 -5 4 3 2 T √ 7 8 9 10 5 11 7 12 13 X 14 15 coordinate plane…

A: In euclid  geometry an isosceles trapezoid is a convex quadrilateral of which the side of both legs…

Q: What is the domain of the quadratic graph? 1 -3 -2-1 -1 1 2 3 4 56 -2 -3 -6 -7 -8 O -2 < z s 7 Oy 2…

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Q: 4. The coordinates of quadrilateral KMHS are K (-5, 2), M (1,3), H (2, -3), and S (-4, -4). 10 2 -…

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Q: The center of the geometric figure described by 16x^2-160x+36y+292=0 is at what point?

A: We have the given function as 16x2-160x+36y+292=0 On solving further by using completing the square…

Q: Formulate this problem as an LP (do not solve, just formulate please)  There are currently 3…

A: The given co-ordinates of machines are P1=10,15,P2=20,15,P3=40,5 To formulate the given Lp problem…

Q: 1. In the standard (x.y) coordinate plane, point X has coor- dinates (-4.0) and point Y has…

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Q: Let x and y be two edges of a rectangle. 30 - =-(v? +3y-9). then what is the maximum area of this…

A: Area of the rectangle is given by A=xy Where x and y are the edges of rectangle.

Q: Help with this?

A: Take out -2 common from the x2  term and then complete the square

Q: b) 16, 14, 13, 14, 17, 25, ...

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Q: Extension #3 30 The equation of the quadratic relationship is y = -0.07 (x – 10.76)² + 14.8. That…

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Q: Find the real number ( B ) such that the line of symmetric equations ( x - 3 = = ) is parallel to…

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Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(−1​,−8​),…

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Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Given: The pair of equations: x2+y2=4, z=y We have to give a geometric description of the set of…

Q: Diagram 2 shows a graph of a quadratic function intersecting the x-axis at x = 2 and x = 6. %3D y…

A: →Axis passing through the minimum point is  the axis of symmetry.→Try to write the equation of…

Q: What is the vertex of h(x)= 2x² -4x + 1? O A. (-2, 1) О В.(-0.25, 1) C. (1, -1) O D. (0.5, 0.25)

A: According to the given information, it is required to determine the vertex of h(x).

Q: Tearabola has one x-intercept of x=-2 and an axis of symmetry of x=4. Which of the following…

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Q: 4. (§4.6, Q16) What is the maximum area of a rectangle inscribed in a right triangle with legs of…

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Q: g (x) = 1 – VI + 2 %3D

A: Topic: Functions

Q: 6.3.AP-9 Question Help v Find the values of x and y in parallelogram PQRS. PT=y, TR=2x +1, QT= 4y,…

A: given , PT =y , TR = 2x+1 , QT = 4y , TS = 5x+13Diagonals of a parallelogram bisect each other into…

Q: -2 2 -6 atercept point of this quadratic graph is ( ).

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Q: R: Is A= ("2 ) diagonalizable? %3D 4

A: We have, A = 11-24. We know that a matrix is diagonalizable if and only if for each eigenvalue the…

Q: 6.3.AP-8 Find the values of x and y in parallelogram PQRS. PT=y, TR = 4x+1, QT= 2y, TS= 5x +8 S X=…

A: PQRS  is a parallelogram .          PT = y   TR = 4x +1   QT = 2y    TS = 5x +8

Q: 6. The path of a ball is given by y =- tx2 + 3x + 5 where y is the height (in feet) of 20 the ball…

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Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b, –5), and line…

A: Given lines r and t are parallel

Q: 3. Give a geometric description of Span{V₁, V2, V3}. 8 (a) V₁ = 2 V₂ = 3 V3 8 (b) V₁ = 2 3 (c) V₁ =…

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Q: a) Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: 6.6.23 Question He Find the values of the variables for the parallelogram. mz1= 4y-14 5x 10z (Type…

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Q: 2. Determine if BC is the perpendicular bisector of EF. Ay 10 B -10 -5 5 -5 5.

A: We have given two line segment BC and EF, we need to discuss about their intersection and they are…

Q: a) Determine the equation in vertex form of the graph provide any necessary calculations to get all…

A: Consider the graph

Q: A 9. Which of the following points is not part of the quadratic function y = x + 4x – 9? O (1, –4) O…

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Q: 8. What are the coordinates of point H? F (5,0,0) -JJ (5,-3,0) H. k (5,-3,2)

A: Solved below

Q: (b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find…

A: Given (b) The vertices are A0,0,0, B1,1,1, C0,2,3 c(1) y=1x2-1 c(2) y=9-x2

Q: (b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find…

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Q: Find the value of x, y, and z in the rhombus below. (x-7)° |(2y-10)° 106° |(-72-10)°

A: topic - parallelogram and its angles

Q: 10. Write the equation of the quadratic graphed below 10 10 -10 (0,5) (2,3) 0 -5 -10- ((116) 5

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Q: 9. (a) Given the perimeter of a rectangle is 100 meters. What dimensions should be to get the…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.