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

Q: 2. (a) Show that the points (-2x, 5x), (0, 4x), (6x, x) are collinear.

A: Given that: (-2x, 5x), (0, 4x) , (6x, x)

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: Write the coordinates of the vertices after a reflection over the line y = -5. 104 4 2. -10 -8 -9-…

A: Given query is to find the the cordinatea of vertices after reflection over y= -5.

Q: |Find the coordinates of the intersection of the diagonals of paralle with vertices P(2,5), R(3,3),…

A: Follow the procedure given below.

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Given points are , (-4,9) , (-2,6), (3,-6)Let P =(-4,9)Q = 9-2,6)R = (3,-6)Hence peremeter = Length…

Q: PQR has vertices P (-2,8), Q (2, 4) and R (7,9). Select the description of PQR that is accurate.

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Q: Show that the points A(2, -1), B(1, 3), and C(-3, 2) are verticesof a square, and find the fourth…

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Q: What is the vertex of y = Vx + 4+1 O (4, -1) O (4, 1) O (-4, 1) O (-4, -1)

A:

Q: Line AB is formed by the vertices A (1, 2, -2) and B (-1, 0, 2). If C is the midpoint of AB, find…

A: Given,  the coordinates of A and B which forms line AB  And c is the mid point is AB Hence the…

Q: Show that (km) is the number of paths in a square grid from (0,0) to the point (m,n) on the diagonal…

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Q: Find b and c so that y = – 5z² + bz + c has vertex (9, 1). c =

A: The given equation y=-5x2+bx+c has a vertex at (9, 1). The given equation is an equation of a…

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: Find the value of x in the rhombus. (3x - sx)° (4x - 24).

A:

Q: Find the value of x in the rhombus. (3x²-6x) (4x² -27) ° X=

A: According to properties of rhombus, The diagonal bisect the angle. Opposite angles are equal.

Q: Find b and c so that y 9x2 + bx + c has vertex (– 10, – 5). || - - b = C = ||

A: Given y=-9x2+bx+c and vertex(-10,-5) We have to find b ,c

Q: Sy < 1/3 x 1²x + 3 X y ≥ 2x 12 z -

A:

Q: The circle given by the equation x² + y² + ax + by + c = 0 passes through the points (-2, 0), (1,…

A:

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

Q: 10. Use any method to rewrite y = – 2x? + 12x – 14 into Vertex Form. a) Identify the vertex. b) What…

A: Given function :

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: vertices (2,3) and (2y.3) passing through the point. 0,5)

A: To find: The standard equation of the hyperbola. Given: The vertices of the hyperbola are 2,3 and…

Q: If the vertex of the parabolay=−2x2+k+ 3 has y-coordinate 11, determine the possible values for k.

A:

Q: 2. What are the coordinates of the fourth vertex C so that rectangle ABCD is formed? Bty (-1,6) 81y…

A:

Q: Find the equation of the plane perpendicular to the y-axis and passing through the point (3,2,-2)

A:

Q: 1. Find the equation of the perpendicular bisector through: (2,-5) and (3,1)

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Q: Solve for the axis of symmetry and vertex for the following problems work on. y = z2 - 6z +8

A: Here to find the axis of symmetry =-b2a and , put this value in the equation to find the vertex.

Q: 10수 2 T -10 -8- -4 -2 2. 8. 10 -2 -4 -6 4. 6. 4- to

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Q: 2. Triangle VWX with vertices -1, 0), W6, 8), and X(4,-3): (x, y) (x-1, y-5)

A: Given coordinates V(-1,0)W(6,8)X(4,-3)Given transformation :(x,y)→(x-1,y-5)

Q: Find b and c so that y=18x2+bx+c has vertex (9,−6)

A:

Q: 10. Quadrilateral ABCD with vertices A(-4, -1) B(0, -2), C(-1, -6), and (-6, -3) in the y-axis. A'(…

A:

Q: Find the best parabola ax2 + bx + c that passes through the points(with minimial square error) (0,…

A:

Q: The base of a triangle passes through a fixed point (f,g) and its sides are bisected respectively at…

A: y2-8xy-9x2=0 y2-9xy+xy+9y2=0y(y-9x)+x(y-9x)=0(x+y)(y-9x)=0 here we have two lines  L1:…

Q: Find the intersection of the planes 2x + 4y - 6z = -8 and 2x + 5y - 7z = -9.

A: We have to find the intersection of the given planes.

Q: Graph the image of rhombus EFGH after a reflection across the line x = 2. G. 10 8 9. H. 4 10 -4 -2…

A: When a point is reflected across the x = a line, the y-coordinates remain the same. But the…

Q: Find b and c so that y=11x2+bx+c has vertex (−7,4). b= c=

A:

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: If the vertex of the parabola y = −2x^2 + k + 3 has a y-coordinate of 11, determine all possible…

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Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A:

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: Find b and c so that y = 7x2 + bx + c has vertex (– 6, 2). - С —

A:

Q: Find b and c that Y= 8x2 +bx+c has vertex (4,0) b= c=

A:

Q: In the standard (x, y) coordinate plane, if a square has the vertices (-2,-3), (2,–3), and (2,1),…

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Q: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

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Q: use the vortex (h,k) and a point on the graph (x,y) to find the general form of the equation of the…

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

A:

Q: Square QRST has two vertices at Q(-9, 5) and R(-7, 7). Which could be the coordinate of the vertex…

A:

Q: Graph the first-octant portion of each plane. 4x + 2y + 3z = 24

A: We have to find the graph the first-octant of the plane. To find x- intercept of the plane put y=0…

Q: 2. AQRS with vertices Q(2, 5), R(7, 1), and S(-1, 2); translate by (-1, -2)

A: To find the coordinate of translate image we add vector and coordinate of original image.

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

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Q: Find b and c so that y = – 10z² + bx +c has vertex (5, 10). b = c =

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.