Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0 2x+3y+5 = 0 %3D O 3x + 2y+ 5 0 %3D O 3x + 2y-1 = 0

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

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Q: Which of the following is the equation of the parabola shown below? 10-y 8+ 6+ (4,2) 2- .0) + -4 -2…

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Q: 4. Which line is the horizontal asymptote for the hyperbola y = 6/ ( x - 5 ) + 9 y = 9 X = 5 y= -6/5

A: given,     the parabola y=6x-5+9

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

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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 b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

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Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

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Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Which parabola has a vertex at the (0, 3) and opens to the right? Oy=x²+3 y = -(x + 3)² Ox=y²-3 O x…

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Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: Graph the hyperbola given by ײ - y² - 72x – 4y +131 - 0.

A: We will graph the hyperbola as shown below

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: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: Find a or k so that the points (-5,-8) and (1,-25) lie on the parabola y=a(x+3)²+k

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Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O…

A: The given equation of the parabola is: y=3x2+3x-6  To identify the x and y-intercept(s) for the…