(x + 1)? (y – 4)? The graph of 25 1 has its center 9. at

Q: Fill in each blank so that the resulting statement is true.

A:

Q: 1. Which equation is represented by the graph below? -1 O A y = 2cos 3r B. y = 2sin 3r y = 2cosr OD…

A:

Q: Use the graphs of y 2 and y = 4x 10 5. shown below, to complete the following %3D %3D sentence. The…

A: Given two graphs are y=2 and y=-4x-105.

Q: Determine the graph of the equation a² + y² + 2² - 6x + 2y - 4z + 19 = 0. O Sphere O Point O Empty…

A: Given :x2+y2+z2-6x+2y-4z+19=0

Q: Which of the following surfaces is the graph of 6x + 3y + 4z = 12 in the first octant? 1. 2.

A: Given:- Equation of plane. 6x+3y+4z=12   To find:- Graph of given plane in first octant

Q: Q2/ By using polar coordinate, graph the curve r=1-2cos 0.

A:

Q: 9. Find b and c so that the parabola y = -3x? + bx + c has intercepts 1 and – 4.

A:

Q: 2. Sketch and identify the graph of the equation a + y? – 2y –- 3 = 0 in 3D.

A: x2+y2-2y-3=0x2+y2-2y+1-4=0x2+(y-1)2=4The equation represents circle in 2D,but a cylinder of radius 2…

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: Determine the value of p (where |p| corresponds to the distance from the vertex to the focus) of the…

A: Given: Parabola whose vertex is 6, 7 and the x-intercepts are 3, 0 and 9, 0. To determine: Value of…

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: determine the type(s) of symmetry (symmetry with respect to the x axis, y axis, and/or origin)…

A: Given: 2x2+3y2+8y+2=0

Q: Q3) For what values of n the line y = -x + n intersects the ellipse +=1 at two poin 20

A:

Q: 3 The circle with equation (x - k)² + y² = 41 passes through the point (3, 4). Find the two possible…

A:

Q: 2. Sketch and identify the graph of the equation a+y? - 2y-3 0 in 3D.

A:

Q: Determine an equation for the ellinse having vertices at (5 1) and (5 5) with a focus at (5.0

A:

Q: - y = x-4 Axis of Symmetry: Vertex: Sketch:

A: Given , y=x2-4 we have to find a) axis of symmetry  and b) vertex

Q: 2) By looking at the graph of y = ex, sketch a graph of y = eX+2 - 3. %3D 5

A: The graph of the function y=ex is given as

Q: O. Sketch the graph of y = -2sin (3x – n)

A: The given function is  y= -2sin(3x-π)

Q: 28. Sketch the graph of 2x + 4y + 3z 12.

A:

Q: 2 TL (21) 3.The vertex is at (4,-4) and the directrix is y + 5 = 0.

A: Topic = Parabola As per guidelines, At a time only one question can be answered.

Q: Graph: x2 + 4y2 + 10x + 24y + 45 = 0. Where are the foci located?

A:

Q: Given the equation (y+3)2 (x-1)2 = 1, find the following: 9. a) center: b) vertices: c) asymptotes:…

A: The given equation is: (y+3)24-(x-1)29=1 Comparing it with: (y-k)2a2-(x-h)2b2=1 So, (h,k)=(1,-3),…

Q: 1) Graph 3x* +8у? %3D72 Also graph the foci.

A:

Q: x2 + y2 -12x + 6y + 20 = 0 Classify Standard Form Graph

A: Given:

Q: Graph z(t) = −2i + eit

A:

Q: -=8 - 3 = - + 4)² Vertex: (3, -4) 4. p: opens: Ch-4) focus: directrix:

A: The Parabola is  locus of a point whose distance from a  fixed point is equal to its distance from a…

Q: ne graph of the following equations in R3. x+ 12y – 2z + 35 = 0 . Show the traces as well.

A:

Q: Q#01: Graph the vertical parabola for y= 2(x – 4)² – 3.

A: Given :              y = 2x-42 - 3 We will compare given equation with,                   x-h2 =…

Q: 6. Find the standard form of r2 + 4y² – 2r + 16y + 13 = 0. Give the coordinates of the center and…

A:

Q: ^2+84x-24y

A: Given Ellipse: 21x2-4y2+84x-24y=36This equation can be re-written as-21(x2+4x)-4(y2+6y)=36 To find…

Q: 2. Put the equation in standard form then sketch a graph indicating the foci and end points: 9x2 +…

A:

Q: sketch a graph for y= 2sin(x+pi/3)+1 x E[0,4pi] (show full working out for all intercepts and…

A: Consider the given trigonometric function y in the interval [0, 4pi].  y=2sinx+π3+1   , x∈0, 4π…

Q: True or False Every equation of the formx2 + y2 + ax + by + c = 0 has a circle as its graph.

A: The given statement is,  Every equation of the form x2+y2+ax+by+c=0 has a circle as its graph. To…

Q: ) Consider y² 4 What value(s) of K, if any, will make this graph a parabola? 7- Kxy - y = 9x² +

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Q: Eliminate the parameter t from the following and then sketch a graph : x=5sint-4 y=5cost-3

A:

Q: 4) Find the vertex of the parabola y=-3 x-2 x +7 and sketch its graph.

A: Given y =-3x2 -2x+7    We have to find the vertex of parabola and sketch its graph

Q: 14. y = 2x- 12x + 10 Axis of Symmetry: Vertex: Sketch:

A: Given

Q: Sketch the graph of y = -2(z – 1)°(z+1)º. CLEARLY indicnte the z and y intercepts.

A: To sketch the graph of:

Q: Sketch the graph of 4y2- 2x2 =1. Find the foci of the asymptotes. A 0,+ 3 B 3. 0, ± D 3

A: The standard equation of the  vertical Hyperbola is: y-k2b2-(x-h)2a2=1 Where the center is at (h,k)…

Q: Let /a) - V1 -, 0s1. (a) Find '. How is it rolated to 7 (b) Identify the graph of /and explain your…

A: Given, fx = 1-x2    where   0≤x≤1 We have to solve for part (a) and (b)

Q: determine the type(s) of symmetry (symmetry with respect to the x axis, y axis, and/or origin)…

A: Solution:Given x2+2y=4To find the type(s) of symmetry

Q: 32. Here is a graph of . Sketch the general shape for y. Start from the dot.

A: Since you posted many questions here, i can answer only 1. Please upload remaining questions again.…

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: 34. The graph of x² + y² – 2x – 4y - 4 = 0 is circle centered at (A) (-1, -2) (B) (-1, 2) (C) (1,…

A: Given x2+y2-2x-4y-4 = 0  ....(1)(1) is circleNow compare standard equation of  circle is…

Q: x = Vi, y = 3t + 4;

A: Given: x=t, y=3t+4; t≥0 For finding an equation in x and y, we put value oft=y-43 from second…

Q: 20. Graph the following and find the information. (x - 2)2 (y + 1)2² = 1 22 62 -10 -7 -2 -1 10 -2…

A: Then given equation is of a HyperbolaWe know the standard from of hyperbola i.e. (x-h)2a2-…

Q: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

A: