Find the foci, co-vertices, vertices, center, major axis, minor axis, and latus rectum of each equation. (x+3)² (y–1)² 1 9. 36 16x? + 25y² + 64x – 50y – 311 = 0

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

Q: 8. Determine whether the equation is symmetric to the r-axis, the y-axis, the origin or none of…

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Q: Q4) Find the y-intercept, x-intercept(s) and the vertex point for the parabola y = x2 + 6x + 5 then…

A: Given: Parabola: y=x2+6x+5 To Find:  The y-intercept, x-intercepts and the vertex point for the…

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: vertex of parabola : (-2,1)= (h,k) x=a(y-k)²+h ✓ (-1.5, -2.3) (j,4.2)

A: Given Vertex of parabola h, k=-2, 1 Equation of parabola x=ay-k2+h Points of intersection of line…

Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

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Q: 5. If f(x) = 2x2 +5 and g(r) = Vx – 2, find (f o g)(x) %3D 6. Find the vertex of the parabola f(r) =…

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Q: 45) Point M is the midpoint of AB. Find BM. 4x + 13 3x+17

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Q: 6. y = x + 6x + 4 Axis of Symmetry: Vertex: Sketch:

A: Consider the equation: y=x2+6x+4 Compare the given equation with standard equation, y=ax2+bx+cAfter…

Q: H.w.7 Finda vectur has 7unit lengih andmaker -0=31,R=64,¢ and & =laiic with the main axis

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Q: x-1)? (v+3)2 + = 1 36 4

A: Given: x-1236+y+324=1 To find: Foci, co- vertices, major axis, minor axis, latus rectum and…

Q: The straight line EB cuts the parabola y = 2x2 - 3z - 2 at E and B and is parallel to y + r 0 F A 0…

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Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4),…

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Q: Given the general equation x² + 2x + y? – 2y - 2 0, find its center and radius. O Center (-1,1),…

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Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0…

Q: Find the axis of symmetry of the parabola x2+ 24 y-4x 68 Select one: O x= 2 Oy= 6 O None Oy= -2 Ox=…

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Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

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Q: y=3+2x– x² and | about the y-axis.

A: Given:

Q: The equation (x − h)2 + (y − k)2 = r2 is the standard form of the equation of a ________ with center…

A: The equation x-h2+y-k2=r2 is the standard form of the equation of a circle with center (h, k) and…

Q: The equation of the parabola whose vertex is located at (0,0), and its focus is (3,0), is Select…

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Q: (b) Find the evolute of the parabola y? = 4ax.

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Q: Given the equation x2 − 22x + 2y2 + 57 = 0 find the foci, vertices, directrix, axis, and asymptotes,…

A: Given equation of ellipse: x2-22x+2y2+57=0 The above equation can be rewritten as: x2-22x+2y2=-57…

Q: Find the point on the parabola x=t, y = t2, - 0 <t< oo, closest to the point - 16,5. The point on…

A: Any point on the parabola is of the form (t, t2) Distance between (t,t2) and (-16 , 1/2) is:

Q: - 7x + 12 = 0 %3D AY

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Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

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Q: Match the equation with its graph. y? = 4x2 + 9z2 %3D 3 2

A: To find- Match the equation with its graph. y2 = 4x2 + 9z2

Q: 7. Find the foci and vertices x² 16 a. 9. b. 3y²+12x-124+1630

A: a) We compare the given equation with  so, h=0 , k=0 , a2=16 , so, a=4 b2=9 , so, b=3  Answer(a):…

Q: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

A: We have to sketch the graph in R3.

Q: If x² – 3r + 5, find (a) r- and y-intercepts. (b) f(1) (c) f(a) (d) the maximum or minimum, using…

A: The function is x2-3x+5 we can write it as =(x2-3x)+5=x2-3x+322+5-94=x-322 +114

Q: fl-8)== y= 3/x at point (-8;2) %3D m =

A: We are given the function f(x)=x3. Here,               f(-8)=-83=-2. Now, we need to find Slope of…

Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

Q: 6) Use the process of completing the square to transform the General Form equation below into…

A: Given,  x2+y2−10x−16y+53=0Concept used:x2−2ax+a2=x−a2

Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

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Q: For the three points ( 1,5), (2,9) and (-1, 7), find a quadratic model y = ax + bx + c through the…

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Q: Change the equation to standard form. Then find the vertices, the corners of the fundamental…

A: Solve the given problem.

Q: The straight line EB cuts the parabola y = 2r² - 3r 2 at E and B and is parallel to y+r 0 F A 0 B…

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Q: x² + y? + z² + 8a + 4y – 6z – 7 = 0

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Q: Find the z and y intercepts of the equation: 5x + 7y = - 105 The intercepts are: a intercept %3D (o'…

A: SOLUTION-

Q: The straight line EB cuts the parabola y = 2r² - 3r 2 at E and B and is parallel to y +r = 0 A 0…

A:

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

A: We will standardize the given equation and then find its general expression to identify type of…

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…

Q: Graph and locate the foci: x2/36 + y2/9 = 1.

A: We have to graph and locate the foci: x236+y29=1 Rewriting the equation of curve,…

Q: 3. Find the center and radius and graph: x2 + y2 + 14x + 12y +76 = 0

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15

Q: Find the r-intercept(s) and the coordinates of the vertex for the parabola y = -r-8z-16. %3D…

A: To find the x-intercept and coordinate of the vertex of parabola