8) Given x=-2y² +10y – 7 , find the vertex, focus and directrix and graph it. -8- 7- 6- 5- 4 3- 2- 1- -8 -5 -2 -1 -1 -10 -9 -7 -4 -3 3 4 5 9 10 -2 -3 -4 -5 -6 -7- -8- -9-

Q: Write the coordinates of the vertices after a reflection over the line y = -1. 104 8. 4. 2. -10 -8…

A:

Q: Match each of the following with its correct vertex A) y = 2Vx - 4+ 2 %3D B) y = yx +4– 2 %3D C) y =…

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Q: .The vertex is at (5,-1) and the focus is at (3,-1)

A: Parabola is the path of the point which stay at equal distance from a fixed line (directrix) and a…

Q: What are the Vertex and Axis of Symmetry of the following equation? y = (x – 6)² – 5 Vertex: (-6,…

A:

Q: Find b and c so that y 15x? + bx +c has vertex (– 6, – 4). - c = ||

A: For y=ax2+bx+c, the x-coordinate of the vertex is: -b2a So, from the given equation: y=15x2+bx+c the…

Q: Find b and c so that y = 4x2 + bx + c has vertex (– 3, 1).

A: Given: The equation of the parabola is y=-4x2+bx+c    ... 1 and vertex -3,1. Formula used: The…

Q: I. Sketch and identify the graph of the following equations in R³ : 1. 9a2 + 4y2 = 36 %3D

A: The standard form of the ellipse is x2a2+y2b2=1. The given equation is 9x2+4y2=36.

Q: The following are all of the form y = a/b(x – c) + d. Give the equation of the given graph: 4 4 3-…

A: Since, graph of y=x is given below and it is defined for nonnegative values of x, i.e. x≥0.   With…

Q: Use the graph to complete the ordered-pair solution (1,_) for f. Ay 34 2- -2-11 1 2 3 5 6 789 10 -2-…

A:

Q: Let S be the quadric with equation 36x2 – 4y² – 9z² – 36x = 0. (a) Classify the graph of S.

A: Given, The equation of the quadratic surface 36x2-4y2-9z2-36x=0 The type of quadratic surface is to…

Q: I. Find the polnt of intersection of the following lines and graph them. 2r+3y=6 and x-y=3

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Q: -4 2 U T -10 -8 -2 2 6. 10 9- -2 -4 -9- -8 R 10 R' = 4. 9.

A: On reflecting over x-axis, T amd U will remain same.

Q: Which of the following is the graph of * 4x2 + 13y2 52 %3D 12 V 10 4W2 W2 VF -1412-10 -8-6 -4 -2 olc…

A:

Q: Find b and c so that y = 42 + bz + c has vertex (- 6, - 8). %3D

A:

Q: What is the vertex of r = 5y + 7y – 2? Vertex = %3D

A: Given Equation is : x=5y2+7y-2

Q: Identify and sketch the graph of the following equations in R. (a) r2+2y? + z2 – 8r + 12y - 2z + 35…

A: The given equation for part (a) is x2+2y2+z2-8x+12y-2z+35=0. The given equation for part (b) is…

Q: Write the coordinates of the vertices after a reflection over the line x = -1. M 4- 2 -10 -8 -6 -4…

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Q: Match the graphs to their equations (y + 3)? (x – 3)? +1 4 1 (y – 3)² (x – 3)? 1 a v %3D 4 1 – 3)?…

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

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Q: come back to an equation for the parabela in standart form (Q 7 -10 -3 (-1-21 -5 -10 trmine the…

A:

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: A(2,7) ; B(6,7), C(4,5)Equation of line passing through point P(10,8) and R (0,-2)using two point…

Q: Find b and c so that y= 5x + bx + c has vertex (- 5, 3). b = C =

A:

Q: Write the coordinates of the vertices after a reflection over the y-axis. 104 8. 9. 4. 21 -10 -8 F 4…

A: We know that The reflection of point (x, y) across the y-axis is (-x, y).

Q: Find b and c so that y 10x? + bx + c has vertex ( – 8, 0). = c = ||

A:

Q: 3.) What would be the resulting coordinates of each vertex in the image if you translated this shape…

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Q: Find b and e so that y = 12z² + bz + c has vertex (4, 3). b = Preview C = Preview

A: Using the rule for vertex we get

Q: Find b and c so that y = - 1z+ bz+c has vertex (-10, 2). %3D

A: The coordinates of the vertex of people is: (-B/2A),[f(-B/2A)].

Q: Graph the image of trapezoid CDEF after a reflection across the x-axis. 104 8. 6. 4 2 -10 -4 -2 0.…

A: If a co-ordinate (x,y) is reflected across the x-axis, the new co-ordinate will be (x,-y).

Q: The graphs of the following equations ar section. 1. 5x2-3y2 + 10x - 12y = 22 2. 3y2 + 3y2 – 42x -…

A:

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: right of the vertex (three points in all). b) y = 3|x + 1| a) y = -|x + 2| - 1 5 4 4 3 3 2 2 1 -5 -4…

A: Lets see graph of equation 1 y= -|x+2| -1   Green line shows the required graph. Vertex = (-2,-1)…

Q: Write the coordinates of the vertices after a reflection over the x-axis. 104 8- 4 2 -10 -8 -6 -4 -2…

A: We have to find the vertices of a triangle after a reflection over y-axis  The given vertices of the…

Q: Enter the ordered pair for point A in the boxes. A 1. -2 1 2 -2-

A: See from the graph that, point A is located at 1.5 units left from the y axis. Thus, x coordinate of…

Q: Find b and c so that y 6x + bx + c has vertex (- 1, – 5). b = 12 -5

A: The given function is y=6x2+bx+c and vertex is -1,-5.   It is known that, For y=Ax2+Bx+C, x…

Q: Find b and c so that y=−15x∧2+bx+cy=-15x2+bx+c has vertex (9,−3)(9,-3).

A: As we know that the vertex of a vertical parabola y=ax2+bx+c is given by -b2a, 4ac-b24a

Q: Write the coordinates of the vertices after a reflection over the x-axis. 104 -10 -8 -6 -4 -2 R 4 10…

A:

Q: me diagram shows MN graphed on a coordinate plane. TM²-4, 4) N(6, -2)

A:

Q: re with vertices A(3, 6), B(-1, 2), C(-2, - 2), and D(1, 2) across the x- coordinates of the new…

A: The given vertices of the figure, are: A3, 6, B-1, 2, C-2, -2 and D1, 2

Q: Graph the image of trapezoid CDEF after a reflection across the x-axis. D 10 8- F 4. 2 -10 -8 -6 -4…

A:

Q: Suppose the graphs of y = 5x² + 3x + 4 and y = x° + bæ? – 78x – 158 intersect at a = 3 – 9. Find all…

A: This question is based on finding roots of cubic equation.

Q: Suppose the graphs of y = 5x? – 4x + 9 and y = x – 4x² – 2x + d intersect at a = 8. Find all…

A:

Q: Write the coordinates of the vertices after a reflection over the line y = -x. 104 8. 7. 4. K. -10…

A: topic - reflections when a point is reflected over a line y=-x, x and y coordinates are interchanged…

Q: 4. Is the following graph the representation of the equation y = (x - 2)^2 - 8 %3D yf 8. 4 -2 -4 -8…

A: To identify whether the given graph represents y = (x-2)2 -8 or not

Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: Choose the graph of y = Inz 1. 4. 1. 1. 1.

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Q: Suppose the graphs of y = 4x? 9x – 1 and y = x³ + bæ² + 17x + 111 intersect at x 2. %3D Find all…

A: Solution: The objective is to find the intersection points

Q: A certain shade of purple paint is made by mixing blue and red paint. The relationship between the…

A: Given, number of quarts of Blue paint is represented by x  number of quarts of Red paint is…

Q: Find b and c so that y 1x? + bx + c has vertex - (– 2, 0). С —

A:

Q: What kind(s) of symmetry does the graph of x2 + 6x + 2y2 - 8 = 0 exhibit?

A: The given equation is x2+6x+2y2-8=0 ..................................(1)  Here we have to find the…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.