Consider the rotated ellipse defined implicitly by the equation 132²-32zy +37y²-45. The quadratic form can be written as 12 VIA[+] - 12 VIPDPT [#] - [ VID["]. where P Hint: What is special about the columns of P? Can you use this to find the matrix D? Once you find D you can plug it into the equation above and perform matrix m a. Using the P defined above, find an equation for the ellipse in terms of u and t. Don't forget to enter the right-hand side too! b. Now drag the points to display the graph of your ellipse on the uv-axes below. to V

Q: given a vertex of (-3,4) what is the equation of this quadratic in vertex form?

A: The point is (-3,4) To find the equation of the quadratic in vertex form.

Q: Show that the equation 7x^2 + 48xy -7y^2 + 20x -110y -50 = 0 is a hyperbola using the matrix method…

A:

Q: The vertex of the parabola given by the equation x2 = 20 V is

A:

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

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: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: Identify the quadric with the given equation and give its equation in standard form   16x2 + 100y2 +…

A:

Q: Determine the vertices of the hyperbola 9x2-16y2-18x-96y+9=0.

A:

Q: Which of the following equations represents the parabola

A:

Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

A:

Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

A:

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A:

Q: Write the equation of the hyperbola 9z²- form Where: h = 4 k= 1 a-9 b= -72 (z-h)² a² S q X X X…

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 6. A small metal bar, whose initial temperature was 20°C, is…

A: Given,Initial temperature is .Then,Then, by the formula of of Newton's law of heating we…

Q: Vhich of these quadratics results in the skinniest parabola? O y = 4(x – 3)² +7 O y = -6(x+ 1)² O y…

A: