4. Find the image equation of the graph of (x- 2)² + (y + 2)² = 4 under the reflection in the line y = x. Sketch the graph and its image.

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

A: Given: Vertex of parabola is 3, -6and y-intercepts are 0, -10 and 0, -2. To determine: Value of p.

Q: Graph the image of S(-9, 0) after a reflection over the y-axis. 104 2 -10 -8 -6 -4 -2 4 10 2 -4 -8…

A: Reflection of a point in the y - axis is change the sign of X-coordinate.  So, image of (-9, 0) is…

Q: 1. Express 322+y² + 2:2+ 6r-4y- 12: +26 0 in its standard form. Also, sketch and identify its graph.…

A:

Q: Use shifting graph to sketch a) y = |(x – 2)² – 1|+1 b) y = 2 – 5sin (3x) -

A: We have to graph the functions by using shifting... a. y=x-22-1+1b. y=2-5sin3x

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: 3. Sketch a properly labelled graph of y=-3sin| 2| 0+ |+1, -2л<0< 2л. -27

A: Given the function y=−3sin[2(θ+π2)]+1

Q: i. x = sin (y – 5) 2 ii. –3x² + y? – 22 = 6

A:

Q: . Sketch the graph of y = m(x) in Figure 2. FIGURE 2. Graph of y = m(x) r- 3, rS-1 m(x) = 1< x < 5 2

A:

Q: Find the latus rectum of the curve 4x2+9y2+8x -32 = 0 (Graph Solution

A:

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: 5. Identify and sketch the graph of the following equations in R. (a) a2 + 2y2 + 22 - 8r + 12y - 2:…

A: We have to sketch the graph of the given functions of three variables x, y and z in the three…

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: 1. Transform the general equation of the circle x² + y² + 8x - 2y - 8 =0 into its standard form and…

A:

Q: 1. Find the equation of the circle whose center is (1,-1) and which passes through the center of the…

A:

Q: O2) 2x-y=1 2x-y=D2 %3D2

A: we have to draw graph

Q: since dv=adt the v-t graph is determined by differentiating the straight line segment of the a-t…

A: Explanation of the answer is as follows

Q: Which of the following statements about the graph of y= 1 are true? -

A:

Q: If a reflection is performed on the graph of y y = 3+1 and the equation x-1, the reflection was…

A:

Q: 5 which of the followinginan equation of the tengentto the graphefy=x at y=3? x2 A) ye 33X-63 6)yこ…

A:

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

A:

Q: 2. f(x) = 2 - 5x + 2x Sketch: Opens: Vertex: Equation for Axis of Symmetry:

A: The quadratic function is f(x)=2-5x+2x2 Let the function of the form f(x)=ax2+bx+c, if a &gt; 0 then…

Q: Graph the figure and its image under the given reflection. AB with endpoints A(-8, 3) and B(1,-8)…

A: The endpoints of the line segment AB are (-8, 3) and (1, -8). First, plot the given points and draw…

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: 1) use the graph of r3D|x| to sketch the graph the following a. y= |x – 4|

A: Giveny=x Here for all values of x the output for y values will be positive and the plot of y=x is…

Q: ) Use shifting graph to sketch a) y = |1 – V|+2 b) y = -1+ 2sin (x +-)

A: Here we have to use shifting graph to sketch,  a) y=|1-x3|+2 b) y=-1+2sinx+π2

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: 18. Sketch the graph of a circle whose equation is x +y² + 10x - 6y = 2.

A:

Q: (2– 1)° + (y+ 3)² = 16- Which graph shows the circle whose equation is %3D

A: General form of equation of a circle with center (h, k) and radius r is,             (x—h)2 + (y—k)2…

Q: The graph of Y = = Vx is given below: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 3.

A:

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

A: Given:

Q: Graph z(t) = −2i + eit

A:

Q: 1 The equation Y=x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?…

A: let m be the slope of the line passing through the point (4,6) Then equation of the line is…

Q: Which of the following equations matches the graph shown below? 10 5- -5 5 Oy = r+3 Oy = 2 +3 Oy =…

A: Clearly this the shape of an exponential function So only option2 or 3 can be right. Now this…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: The given expression for x and y is given by  x = t - 2  and  y = 2t+3 The range of t is 0≤t≤5 t = x…

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: Sketch a graph of y I – 1

A: Given: y=-x-1 To do: Graph the given function.

Q: Starting with the graph of y = e x  write the equation of thegraph that results from(a) reflecting…

A: (a) Plot the curve y and reflect the graph for y about y = 0 axis.

Q: . Match the equations listed in parts (a)-(d) to the graphs in the ac- companying figure. a. y = (x…

A:

Q: 1. Determine the equation of the parabola whose vertex is at the point (-1, –1) and whose directrix…

A: We have to determine the equation of the parabola whose vertex is at the point (-1,-1) and whose…

Q: i. x = sin (y – 5) ii. -3x2 + y z2 = 6

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Find the image equation of the graph of (x– 2)² + (y + 2)² = 4 under the reflection in the line y =…

A: Any point on x-22+y+22=4 can be represented by p2+2cosθ,-2+2sinθwhere θ is a variable parameterif…

Q: ress 3x² + y² + 2z² + 6x – 4y

A: Given,            3x2+y2+2z2+6x-4y-12z+26=0

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: Draw the graphs of the equations x – y+1=0 and 3x+2y – 12=0. Determine the coordinates of the…

A: Sketch the given equations:

Q: Q29) Use shifting graph to sketch a) y = |(x – 2)2 - 1|+1 b) y = 2 – 5sin (3x)

A:

Q: It is known that an equation of the graph obtained by rotating the graph of a certain equation about…

A: Given xy = 1 now we have to replace x  by  x-y2  and y by  x+y2

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

A:

Q: which of the following equations does tne graph represent? y=4/3x+6 y=3/4x+6 y=-4/3x+8 y=-3/4x+6

A: