What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x + 64x1x2 47x3 = 23? Transform it to principal axes. Give your answer in the form Q = 11y² + 12y. Order å; increasingly.

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: Test the equation y = 5x2 - 1 for symmetry with respect tothe x-axis, the y-axis, and the origin.

A: we have to test the given equation for the symmetry with respect tothe x-axis, the y-axis, and the…

Q: Write the equation in factored form. Show all your work State the zeroes and Determine the axis of…

A: To find vertex and axis of symmetry we want rewrite the given equation into vertex form.

Q: ine the graph of the paraboloid z=x2+9y2. Choose the correct graph of the equation.

A: Given the paraboloid equation is                           z=x2+9y2.

Q: x2 + (y − 4)2 = 1   Write the equation of the circle in standard form, (x − h)2 + (y − k)2 = r2.

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Q: Use the information provided to write the standard form equation of a circle. Center: (12, 14)…

A: A circle is a locus of points which are equidistant from a fixed point. This fixed point is called…

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: 25. Which equation represents the parabola below? 14 O y=4x² - 6x +17 Oy=x²-4x+5 OV-2X²-8X+9 y…

A: We know  Vertex form of parabola ⇒y=ax-h2+kHere vertexh,k

Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

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Q: (금)-(부)' h k Write the equation of the hyperbola in standard form 1 2-

A: Find your answer below

Q: Show, by completing the square, that the parabolay = ax2 + bx +c can be obtained from y = ax 2 by a…

A: The given equation of parabola is y=ax2+bx+c. Rewrite the above equation as follows.…

Q: Find the equation of a sphere if one of its diameters has endpoints: (3, -7, -17) and (17, 7, -3). =…

A: Here we have to find equation of sphere whose one of its diameter has endpoint are given.

Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

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Q: Graph the parabola y=−x2−2x+8 by plotting the x- and y-intercepts. Move the key points to create the…

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Q: Given the equation: 2x? + 3y? – 6x +6y = 12 Identify the conic and explain how you know.

A: Given: 2x2+3y2-6x+6y=12To identify the given conic:

Q: G F 5. The kite has vertices D(0, u), G(-w, 0), and F(0, -2u). What are the coordinates of E? (0, w)…

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Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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Q: For questions 5 to 8, use the method demonstrated in Worked Example 14.5 to find the equation of the…

A: Since there are multiple questions present, according to company policy we will be answering only…