IV. Transform the following to vertex form, Show your Process 2) y=x-24x+85 5) y= 5x +30x+ 45 1) y= x+4x+16 3) y=-r +8r+14 4) y= 2 + 10 6) y= -3x-18xr-20

Q: y%3D2cos (금z) +1

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Q: 2. Show that the graphs are not planar: 2.c. 2.b. 2.a. S 6o

A: Given problem is related with graph theory. In this problem, we have to show that  given three…

Q: 2.) Determine how many backtracks are required to use every edge at least once returning to where…

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Q: Produce the following graphics by using Mathematica. Hint:U last graph 60 50 40 x2 30 20 10 1.0 1.5…

A: As 4 questions are given, I will solve only the first one : We have to draw graph for :x,x2,x3,x4…

Q: Where (5,6) is the given vertex and (2,11) is the given point

A: Given information : Vertex is (5,6) Given point is (2,11) Vertex form of quadratic equation is…

Q: Graph the Image of kite QRST after a reflection across the line y = -4. 10 8- 4 -10 -8 -6 -4 -2 4 6.…

A: The reflection of the given image is Q'R'S'T'.

Q: Find the length of the graph of  6xy=y4+3 from y=4 to y=5

A: To Find: Length of the graph of6xy=y4+3 from y=4 to y=5 Concept: Length of 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: Determine whether (1,1) is included in the graph. 2x+6y <9 Is (1,1) included in the graph?

A: 2x+6y&lt;9 We need to determine weather (1,1) is element of 2x+6y&lt;9. Now look at 2*1+6*1=8&lt;9.…

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

A: we have to draw graph

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: Find b and c so that y 10x? + bx + c has vertex (10, 5). b = c =

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Q: Identify and sketch the graph of the following SURFACES. 2 = √9-y²

A: We have z=9-y2 Since z is square root of 9-y2 so z is positive always. We can write z=9-y2 as:…

Q: Find b and c so that y = 3x2 + bx + c has vertex ( – 9, 10). |3| Preview C = Preview

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Q: Given: AABC; A(1, 6), B(4, 6), C(4, 2) AJKL; J(-6, 6), K(3, -6), L(-6, -6) 4. Graph AABC and AJKL.…

A: Similar triangle

Q: Select the graph which satisfes all of the given condions '(-2) = 1' (3) = 0 Increasing on (-2,3) U…

A: We have to select the graph which satisfies all of the given conditions f'(-2)=f'(3)=0 means tangent…

Q: Q2.1 To obtain 2 possible communities, cut the edge(s) with number(s)?_ Q2.2 To obtain 3 possible…

A: Cut set of a graph :                                          Let G = (V,E) be a…

Q: USG hG FOlloing graph of P'(X) tO UGS GriDG thG benavior of fCX). Srate where P() ld inGrcasiNg…

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Q: Find the image of un der w- 2く

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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…

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

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Q: Q 19 If a fault cuts three sides of a quadrilateral, then: Red with one of the vertices 2- Cut the…

A: Given question:- 19) if a fault cuts three sides of a quadrilateral then,

Q: Find b and c so that y = - 10z? + bz + c has vertex (7, – 3) Preview c = Preview

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

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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: -) Reduce the given q vadratic equotion to canonical equation of a the graph. x2+4²+z²+4xy-4x2…

A: Given equation x2 + y2 + z2 + 4xy - 4xz + 4yz - 2x + y -3z = 0

Q: 4, Reflect the figure with the given vertices across the given line. P(-2, 3), Q(4, 3), R(-1, 0),…

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Q: If the normal at (ap², 2ap) on y² = 4ax makes 90° at the vertex, then

A: Introduction :

Q: Graph AABC with vertices A(1,2), B(-2,0), and C(-2,3) and its image after the translation. 14. (x,y)…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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: Find a and c so that y = ax + 24x + c has vertex (2, 37). a с — ||

A: From the vertex of a parabola

Q: Z is a complex variable, z=x+iy Question attached in photo

A: To evaluate the given integral over three different given contours

Q: Find the total length of the graph of the astroid x2/3 + y2/3 = 4

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Q: 17 Paragraph 12 Which of the following satisfies this graph? 2x - 5y ≥ 10 y20 X20 2x + 5y ≤ 10 y20…

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Q: 1. AFGH with vertices F(1, 3). G(2. 4). and H(3, 2); translated 3 units left and 1 unit down. AY

A: given triangle points  F(1,3) , G (2,4) , H(3,2) we have to shift this triangle left by unit and…

Q: a) Find the number of walks of length 3 between each distinct pair of vertices. b) There is 1 walk…

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Q: A hegartymaths.com/assessment 3 of 6 Enlarge shape A by scale factor 3 with centre of enlargement…

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Q: Select the graph ofr = 4- 3sin 6. 24 6 8 15 11 a 13x 2 15

A: Given the parametric equation

Q: Graph the image of AJKL after a reflection across the y-axis. 10 4 K -10 -6 -4 -2 8. 10 -2 -4 -6 -8-…

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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: Use the graph of y = Cax to determine C and a. Ay 10- C=I 8- 4- 2- -10-8 -6 -4 10 -2- -4- -6- 10-…

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Q: |- 2x + y < - 4 Graph: 2x + 4y 2 - - 8 4. 3. 2. -7 -6 -5 -4 -3 -2 -1 7. -2 -4 Type here to search

A: To graph the following inequalities

Q: Draw a complete graph so that it has symmetry with respect to the origin. (0,0) (x,0) -2t -2-

A: Topic = Graphs Correct option = C

Q: Give an example of a non-planar graph that is not contractible to K5or K3,3.

A: Solution :-

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…

Q: If (2, 0) and (0, 5) are points on the graph of y = mx + b, what are m and b?

A: If 2,0 and 0,5 are on the graph of y=mx+b then equation of graph satisfied by the the given points.…