IV. Plot the vertex and the endpoints of the latus rectum and sketch the graph of the following equations. 24. (x – 5)2 = y + 9 25. (x + 1)² = - (y – 2) %3D

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

Q: (z + 3)? Sketch a graph of (y + 1)? = 1 9 7 2 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -2 -3

A: Given :           x+329-y+12=1

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

A:

Q: 21. Match the equation to the graph at right: A) y =-1/2(x+ 3)² + 3 B) y = -2(x - 3)° + 3 C) y= - ½…

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Q: 1. For the equation y 6x2 +5x-6 determine the following features. Round your final answer to two…

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Q: Find the graph of the equation 4x 2 + y 2 = 4.

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Q: 2. Which equation is graphed below? -4| -2 |0 2 4 X -2 a. y = 2x² – 8x + 7 b. x = -2y² – 8y – 7 c. y…

A: Given ,  We have to tell which equation is of the graph

Q: .2 y? Sketch a graph of +. =D1 4 フ+ 5- 4+ 3- -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -1 -2- -3 -4 -5+ -6-…

A: We will solve the following using the given points.

Q: Determine the point of intersection for the graphs y = 2(3*) and y = 6(2*). Round your answer to one…

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Q: Q4 Write the equation of finding the length of the curve r = 2 + 2sin 0

A: To write the equation of finding the length of the polar curve

Q: Sketch and identify the graph of the following equations in R3 : y² 2. 22 – 2? 4 b. By sketching the…

A: Given the equation  z2-x2-y24=1---1⇒z2=1+x2+y24⇒z=±1+x2+y24. Rewriting as, gx,y=±1+x2+y24. The level…

Q: O O 2. The graph of the equationx + 3y = 6 intersects the y-axis at the point whose coordinates are…

A: To find the intersection point

Q: The solid graph has been compressed horizontally by the factor of relative to the dotted graph of y…

A: The graph is compressed by the factor of 12 therefore New Value of X=12x 2X=x

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

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Q: Suppose (P, Q) is the point on the graph of y = Vx closest to (1, 0). What is the value of P+ Q?…

A: In this we have to find the closest distance and then sum up. So I'm providing hand written solution…

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

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Q: 2. Alex skated 5 meters in 4 seconds. How fast was Alex skating per second? Answer with supporting…

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Q: q+m (v) m Submit Question 2 1 -6 -5 -4 -3 -2 -1 -1 2 3 A 16 5 1 Find an equation for the graph…

A: General equation  m=AsecBv-c+d Now we need to find A,B,C and D

Q: Begin by graphing y = l x l . Then use this graph to obtain the graph of y = l x - 2 l + 1.

A: Graph of a function is the relation between lines and points plotted on the axes. We have to draw…

Q: 18. Based on the shape of the graph, which one of these equations COULD be represented by this…

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Q: Determine the range of the graph of y = 8cosx - 7. %3D O(-7 sxs 7, y e R} O {-15 s x s 1, y e R} O…

A: We need to determine the range in 1st part and domain in the 2nd part of the question.

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q?…

A: Shortest distance

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: 2. At what point(s) do these graphs intersect? y = x? + 3x – 5 y = 4x +1 Seth's solution: y = x2 +…

A: To find the point of intersection of two functions we solve them as if they are a system of…

Q: 5. Based on what you learned in the Desmos activity, answer the following questions: What's the…

A: To find: a) The difference between the graph of y=x2-4 and y=x-42. a) The difference between the…

Q: . Find the point on the parabola y = x² closest to (6,3). newor: The noint is (24)

A: Given curve is y=x2

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q? M…

A: Distance between two points (a,b),(c,d) is  sqrt((c-a)^2+(d-b)^2)

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

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Q: Match the equation with its graph. x2 y? = 1 9. 16 21 -3 Submit Answer

A: As the equation represents an ellipsoid, then THE LAST OPTION is true.

Q: 3. Which of the following equations describes the graph shown below? (1) y= Vx+4+1 (2) y = Vx-4-1…

A: Option (1)  is correct. The graph is given below

Q: The graph of y = 2x1/3 + x4/3 changes its concavity at: 1) nowhere 2) both (0,0) and (1,3) 3) (0,0)…

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Q: The region in the first quadrant bounded above by the parabola y = x², below by the x-axis and the…

A: Aa per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

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

A: (x+1)225+(y-4)29=1

Q: Sketch the graphs of the following cubic equations onto graph paper. (x) - х' - Зx? -6х +8 b (x) -…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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: 10. Which equation represents the parabola that has been vertically stretched by a factor of 5,…

A:

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

A: The equation given is y = e x. The graph of the equation is,

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 3? a = b…

A: Slope of the tangent is obtained by dy/dx

Q: Solve the stated IVP. In addition, graph (y1 vs y2) your solution and discuss its long-term…

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Q: 2) Give the equation of the following graph (0.25, 0) (2,4.16)

A: Clearly this is logarithmic curve  We have given two points in this curve (x1,y1) = (2, 4.16)…

Q: 1. Graph by using the slope and the y intercept. a) y = x-7 10 8 -10 -8 -6 -4 -2 6 8 10 CO 6 4 2 -2…

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Q: Use the graph of txニICo Va to estimate the solution(s) to the following equations. a. VI = 2 b. Va =…

A: 1. Given function y=x3 Using given graph we find value of x as follows a) x3=2⇒ y=2      at y=2…

Q: The r coordinate of the point of intersection between the two curves y = e2" and y = 1 is a = (Write…

A: Solution let a  value x=xo is intersection point of two function ,say f(x) and g(x) which implies…

Q: f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

A: Given query is to find the graph is the function.

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: 2. Determine algebraically the point of intersection for the graphs of y=2(3") and y= 6(2*). Round…

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Q: -10 5. Based on what you learned in the Desmos activity, answer the following questions: What's the…

A:

Q: 16. Which equation best represents the y = 3x + 3 relationship between x and y in the graph? y = 3x…

A: