9. The equation of the hyperbola is of the form (x – h)? (y - k)² (a) a? (y – k)? (x - h)² (b) a? (x – h)? (y – k)² (c) (x – h)² (y – k )² (d) b2 a?

Q: What is the y-intercept for the cubic function: 4x3 – 3x2 + 7? O (0,7) O (7,0) O (0,4) O (0.3)

A: Given

Q: 2. Write the given equation below in standard form. 4x2 + 3y + 6y = 9 (y+1)? =D1 *+ (y+1)? = 1…

A:

Q: Solve by completing the square: (y-3)-(y-4)(y+3) O A. 1-10,1+Vi0 O B. 1-i10,1+i10 O C. 1-2i2,1+ 2i2…

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Q: -3- -5 a. y = (x+ 2)² + 1 b. y= 4(x- 2)² + 1 c. y = (x- 2)² + 1 d. y = (x- 1) – 2

A:

Q: 26.) What is the vertex of the given quadratic function? y = x2 – 8x + 23 A) (3,4) B (4,3) C)…

A: The given quadratic function,     y=x2-8x+23

Q: what is the axis of symmetry y = x2 − 2x − 8

A: The axis of symmetry is x,0. Where x=-b2a. The given equation is y=x2-2x-8. Comparing the equation…

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

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Q: := (-2x + y)² – 7, dz y(0) = 0.

A:

Q: x² + y² + 8x − 10y-9=0 Find the Center and Radius

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Q: Write an equation for the parabola with the given focus(F) and vertex(V). F(-2, 5) ; V (–2, 7) (x –…

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Q: (a) Classify, according to type (hyperbolic, elliptic, parabolic) the following equations: (i) 3Uxx…

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Q: 12.) For the parabola y=-- -x², determine the focus. 4. a) (-1,0) (b) (0,–1) (c) (-4,0) (d) (0.-4)…

A: We can find the coordinate of center from the equation of parabola as below

Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

Q: Draw the function h(x) = 2*+2 – 8 on the same set of axes as f, clearly indicating the intercepts…

A: given,       hx=2x+2-8

Q: Sketch the parabola g(t) = -t2 + 4t - 3.

A: Sketch the parabola g(t) = -t2 + 4t - 3.

Q: 3 X -2 -1 0 1 2 y = 2x² - 4 y 12 X ^ -4 12. sy Is the point (5, 46) on this parabola? Justify your…

A: Given:Parabola, To Find: To complete the table and to graph the parabola.To determine whether the…

Q: Find the standard equation of the parabola with the vertex (3,2) and the directrix y = - 2. Also…

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Q: (0,7) (12,14) (20,0), create a parabolic model H(x) in the standard form H(x)=ax+bx+c for the path…

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Q: Match the equation with its graph.

A:

Q: 22. The equation of the parabola. A. (x + 3)? = 12(y – 1) B. (x + 3)² = -12(y – 1) C. (x – 1)? =…

A:

Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the…

Q: Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7)…

A: Topic:- geometry

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 = -…

A:

Q: What is the equation of the parabola? 9. 8- -7. .... ··3· --2- ~3⋅ a) y=-1.5(x+2.5)²+2.5 b)…

A: To determine the equation of the parabola in the given graph, we need to identify the vertex and the…

Q: A parabola has a focus of F(2,−0.5)F(2,−0.5)and a directrix of y=−1.5y=−1.5. P(x,y)P(x,y)represents…

A: Let (x, y) be any point on the parabola. So, the distance between (x, y) and the focus will be :

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: y = -4x2 + 6x – y = = -x2 + x – 3 What is the sum of the abscissa of the intersection points of the…

A:

Q: 1. Which is the standard form of the parabola y =-}(x+1)² + 5 O y=D -a2 - 긍 + 5.5 O y = -a² + x+ 5.5…

A:

Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…