2. Rewrite the following in vertex form, f(x) = a(x- h) + k, and then state the vertex. a. f(x) = x2 – 6x + 7 b. g(x) = x2 – 10x + 21 %3D

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: Use the graph of 5 x y = x² + 4 to approximate the values of x that satisfy y > 1. 1. None of these…

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Q: 1.b) Describe how the graph of g(x) = (x – V2) is obtained from the graph of f (x) x3.

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Q: S2x - 1, for x < 2, 12-x, for x 2 h(x) = Graph. 3) %3D

A: The given function is

Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of…

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Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

A:

Q: Q2) Solve the following LP problem by graph: Maximize P = -x + 5y (x-2y ≥0 y ≤100 Subject to: x + y…

A: Given : Maximize: P = -x + 5y Subject to, x - 2y ≥ 0 y ≤ 100 x + y ≥ 210 x ≥ 0, y ≥ 0 Now, Graph :

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A: Given function is fx=ax2+bx+c, where a≠0. To find the x-coordinate of the vertex. Solution: Vertex…

Q: State the intervals on which each given function is increasing, decreasing, or constant.

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Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t =10 - x, + x, -2x, +x, - x, <-10 Can an…

A: So we have a linear programming problem with 3 variable x1,x2,x3 with two constraints.  First we…

Q: 5. Reconstruct the graph I from its subgraphs : F; =r-v;, where T3 = K13 T= Is= K13+e; T:. P,UK,

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Q: (b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This…

A: Make a table for (x,y) and substitute all integral values in the function and find y. x…

Q: The shaded region between the graphs of y = orange. | -6 Ax- 25 2x² + 20 and y = 3x - 15 is…

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Q: Q1/ solve the following by using graphical method: Maximize Z=12x+16y, Subject to: 10x+20y < 120,…

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Q: 10) Find the end behavior of the given graph. As x→-00, f(x) As x→ 0, Ht) 恩) 00,

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Q: Ques. 2.Write down the K-T conditions for the following problem: Maximize 3 X-2x2 Subject to 2X1…

A: We are given a nonlinear optimization problem, and we have to find the the KKT-conditions for that…

Q: If g'(x) =-3x(x+2), then the graph of g(x) has a relative maximum at what value(s) of x?

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Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

Q: Find the y coordinate of the vertex: f(x) =x +5x+3 О-13/4 О 5/2 O 13/4 O -5/2 to search

A: Given query is to find coordinates of vertex.

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: The graph of  f(x) = 2(x − 2)2 − 7 is a parabola that opens upwards with its vertex at (x, y) = 2,−7…

A: Consider the graph of f(x) = 2(x − 2)2 – 7

Q: In p(x,y) = 3ry – x* – y°, x is the average daylight and y is the average daily rainfall. %3D Solve…

A: To find the points that maximize the the productivity of the function px, y=3xy-x3-y3

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

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Q: Apply Optimal Runge-Kutta methed and y for the 3 obtain y, 1₂ and y² = t + 2y year=1 for the problem…

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Q: 4y Ay 2. 4. 2. 2.

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Q: phically. (use graphing paper 2x +3y 9 2. 16x + 9y = 27 %3D %3D Y substitution method.

A: We have to find the solution of equation

Q: 11. Suppose that the x-intercepts of the graph of y = f (x) are –5 and 14. a) What are the…

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Q: orm f(x) = ar² + bx +c whose graph %3D

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Q: What is the piece-wise equation and domain for the 2nd section of the graph? f(x) 3 -5 -4 -3 2 3 4…

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Q: 12. Select the correct Trig. functions tepresenting the given graph. Hint: 2pi = 6.28 * 3 2 4 5 6.…

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Q: Solve the following graphically (attach your graph): Max z = 3x1 + 4x2 s.t. x1 + 2x2 0 What are the…

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Q: se Lagrange multipliers to find the point on the line Y2x+3hat is dosest to the point (4. 2

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Q: 9. The graph of f(x) = x* + 8x3 – 72x2 + 6 is concave down for A. -6 2 С. х< -6 D. -3 – 3/5 <…

A: The function id concave downward if f''(x)&lt;0

Q: Use graphical method to solve the following. Maximize g = 3x + y. subject to x + 4y ≤ 12 x + y ≤ 9 y…

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Q: Apply Simplex method to solve the following problem: Maximize: z = x, +9x, +X3 Subject to: x, +2x,…

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Q: The graph of y-Jx) is shown. HS4 2 3 4 5 -2 -3 Evaluate x when x) 4

A: The graph of the function f(x) is shown below:

Q: b. The graph of f(x) = V is horizontally compressed by a factor of then shifted to the left 3 units…

A: I have appended the concept used in the solution part.

Q: Graph x- t²- t+y on

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Q: g(x) = −2x + 5 over the restricted domain D = [−3, 2]. Graph.

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Q: 6. What are all values of x for which the graph of y= 6r ++3+ is concave downward? %3D

A: To find All values of x where the given function is concave downward.

Q: The graph of 3x – 2y + z = 12 is a with x-intercept at A. Plane, x = 3 O B. Line, x = 3 O C. Line, x…

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Q: 2. The Minimum point of y = 8x+4 (x-2)²

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Q: 1. The Maximum point of y= 9-x² x²-4

A: This is a problem related to maxima and minima. Based on the general formula and concept we will…

Q: Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are…

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Q: Sketch the following problem graphically: max f X2 = X2 subject to g1 = x1 – (1 – x2)³ < 0 92 = X1 2…

A: Given - Sketch the following problem graphically. maxx2f = x2subject to g1 = x1 - 1 - x23 ≤ 0…

Q: III Locate the possible y = x³ + 6x² + 9x max and min points and pt/s of inflection

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Q: Find the optimal solution for the following model graphically Max Z 5X, +2X2 Subject to, X +X2 s 10…

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Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

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Q: Use the graph of 5 x %3D x² + 4 to approximate the values of x that satisfy y > 1.

A: