Rotate the axes to eliminate the xy-term in the equation.Then write the equation in standard form. Sketch the graph of the resulting equation, showing both sets of axes. a. x2 – 2xy + y2 – 1 = 0

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Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

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Q: If possible, write each of the following quadratic equations in the form of a conic in standard…

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Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     x2 + x +…

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Q: 2. Sketch and identify the graph of the equation a + y? – 2y –- 3 = 0 in 3D.

A: x2+y2-2y-3=0x2+y2-2y+1-4=0x2+(y-1)2=4The equation represents circle in 2D,but a cylinder of radius 2…

Q: x' +y - 8x + 6y + 21 = 0 Use the process of completing the square to rewrite the equation above as…

A: on  solving this we get

Q: Find an equation for the indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

Q: Use the graph shown to answer:The equation of the parabola is of the form a. (y - 1)2 = 4p(x + 2) b.…

A: It is an upward parabola, therefore the equation is of the form x-h2=4py-k

Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     2x-3y2

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Q: In Problem,rotate the axes so that the new equation contains no xy-term.Analyze and graph the new…

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A: Known fact: The below classification is defined for the equation ax2+by2+2hxy+2gx+2fy+c=0. Ellipse…

Q: 2. Sketch and identify the graph of the equation a+y? - 2y-3 0 in 3D.

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Q: Find a set of equations to represent the graph of the rectangular equation using t=x and t=2-x. y=…

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Q: If 4y = -3x? – y² then find at the point (1, –-3) in simplest form. %3D Answer: Submit Answer

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Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

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Q: b) -1

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Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     x2 + 4y2…

A: Symmetry is when an object is same on both the sides

Q: Given: 9x + 44? 54x-84+61=D0 I den tify the conic section State the shifts from the Standad form.

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Q: Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form.…

A: xy-1 = 0  xy = 1  So we write this is xy = 12 Or      xy = c2 Now to eliminate the term xy from…

Q: of f(x) = ax2 + bx +c Determine the equation the parabola in the form

A: Given equation of parabola  fx=ax2+bx+c which passes through (0, -4), (1, 0) and (2, -4).

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Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

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Q: Find an equation for the parabola. y A В C A (x+2)2 = - 2.67(y – 1) B -2.67 (x+2)2 = y+1 (x- 2)2 = -…

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Q: What are the apparent roots of the equation graphed on the coordinate gid? -5 "5 4 3 2 101 2 3 45 -3…

A: The roots of the equation are the x-intercepts of the graph.  In the given graph, the x-intercepts…

Q: 3 -2 3 5 -1

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Q: 5. Write the equation into the standard form of the equation of the parabola: y? + 12y = 1– x.…

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Q: (a) Write the following equations in standard form. (b) Draw sketch graphs of the following,…

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

Q: Suppose a golf ball is driven so that it travels a distance of 400 feet as measured along the ground…

A: Given that       A golf ball is driven so that it travels a distance of 400 feet as measured along…

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Q: Find all the values of b such that the parabola y=(1)/(8)x^(2)-bx+(9)/(2) will have a directrix…

A: the given equation of the parabola is y=18x2-bx+92. we have to find all the values of b so that the…

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Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

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Q: Find the x- and y-intercepts of the graph of the equation. y - 2xy + 2x = 1

A: To find x intercept we have to put y = 0. To find y intercept we have to put x = 0.

Q: 50 ft 100 ft,

A: Consider the parabolic arch formed in the foundation of the bridge

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Q: Find all values of b such that the parabola y = x² – bx + will have a directrix having an equation…

A: y=18x2-bx+92 On simplification, we get…

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Q: Find a, b, and c so that the graph of the parabola with equation y=a+bx+cx^2 passes through the…

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Q: Write the equation xy = -4; θ = 45°in terms of a rotated x′y′-system using θ, the angle of rotation.…

A: We have to write the given equation in standard form, in terms of a rotated x'y'-system using θ (the…