Which of the following functions has a vertex of (4,7 O y = (x+ 4)² +7 O y = (x – 4)² + 7 O y (x + 7) + 4 O y = (x - 7) – 4

Q: Consider this scenario: The profit of a company decreased steadily over a ten-year span. The profit…

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Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: 9) Find and perform each of the following for the given functions. a. All zeros and their respective…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: For f(x) = (x + 3)*(x – 6)³(x + 5), list each real zero and its multiplicity.

A: Given function is f(x)=x+34x-63x+5

Q: For what values of n will the set {(1,3),(2,5),(n-1,1),(n,7),(n+ 1,0) represent a function?

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Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

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Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: The maximum value of (/-3 + 4x – x2 + 4)² + (x – 5)². | |

A: Introduction :

Q: f(x)%3DX²-2x+5

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Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

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Q: Select all of the statements that are true for the functi O f(x) is shifted 4 units to the right. If…

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Q: Let f(x)= = -2 x²+3x O Only 0 O Only 3 O Only -3 Only 0 and 3 What values of x have to be excluded…

A: given  f(x)=-2x2+3xfor domain  x2+3x≠0

Q: One zero of x3 – 4x = 0 is 0. What are the other zeros?

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Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

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Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Put the function Q= (t-2)(t+2) - (t+4)(t-1) in the form Q= it and state the value of k

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Q: 8. Find one zero of the polynomial f(x)=2x-x-6x+3 %3D

A: Given function is: Apply rational root theorem to get roots of polynomial. If the polynomial has a…

Q: Find the zero of P(x)=7x-12

A: We have to find the zero of P(x)=7x-12.

Q: Find the rule of the function associated with the following table. 1 2 3 y 1 - 3 -7 -11 y = -4x+1 y…

A: We have to find the function y x 0 1 2 3 y 1 -3 -7 -11

Q: The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4,…

A: We have to find correct option using given data. Concept required:

Q: Find the largest possible domain of each of the following function. 2x4 + 5x3 + 14x² + 11x – - 27…

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Q: 2. y = x(x³ – 8x² + 24x – 32)

A: As per our guidelines we can answer only 1 question so kindly repost the other questions separately.…

Q: Specify the symmetry of the following functions: 10 (d) 0(x1, x2) = e-l#il X2+3

A: We need to find the symmetry of the function in part (d). We know that a function f is symmetric if…

Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is

Q: The domain of the function 5t + 3 -is_ t2 + 49 g(t) O None of these O R O R- {49} O R-{-49}

A: We will find the domain as following.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.