Use the graph of f(x) = x2 to obtain the graph of h(x) = (x + 1)2 - 3.

Q: Find the slope of the secant line between x = 3 and x 5 on the graph of the function f(x) = -2x2 +…

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Q: Sketch the graph of y = f(x + 2) - 1, where f(x) = x 2 for -2 ≤ X ≤ 2.

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Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl + 3.

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: Find the maximum value of the function f(x) = x² . – x within the interval0 < x < 2. -

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Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: Find the absolute maximum value of the function f(x) = (x - *).

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Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: Sketch the graph of the function. Jx+ 3, xs -5 g(x) 4, x > -5

A: Given,          The function is gx=x+3x≤-512x-4x&gt;-5

Q: Use the graph of f(x) = x2 to graph g(x) = 2(x + 3)2 - 1.

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Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

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Q: Find the critical point for the function f(x)=-x² +3x+1

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Q: Sketch the graph of the curve f(x)=3x³ - 3x + 2

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Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

Q: 2. Sketch the graph of the function (a) f(x,y) = /x2 + y²

A: See the attachment

Q: Sketch the graph of f(x)= x2 + 1

A: Given Data The equation of the graph is fx=1x2+1.   The graph of the equation fx=1x2+1 is,

Q: 4. Using at 7 points, graph the function f(x)=2x

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Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x+1.

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

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Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

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Q: Sketch the graph of f(x) = 1/(x2+1)

A: The graph of f(x) = 1/(x2+1)

Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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

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Q: Sketch the graph of the floor function f(x)= |x +1|| over the interval [-3, 3)

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Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

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Q: .6. Sketch the graph of f (x) = {3x+ 7, x- 3

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Q: Sketch the graph of f(x) =1−2x /(x−3)^2close to x = 3

A: First list some coordinates for the given relation as shown in below table.

Q: Find the point at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

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

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Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 &amp; the line tangent to y=gx at x=5 is y=6x-27. Put x=3…

Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = -lxl.

A: The given function is fx=x.

Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: Explain how to identify the graph of : Ax2 + Cy2 + Dx + Ey + F = 0.

A: If an equation has a square form of the variable  or a square form of the variable  or a square form…

Q: Determine the intercepts of the graph of f(x) = -4x - and 0, 16 (3,0) and 0, and 0, 16 0 and 0, 16 O…

A: Please refer the attached image for complete solution.THANK YOU.

Q: what are the steps to graphing  f(x)=e^(-x/2)

A: Steps to graphing an exponential function: 1. Draw the graph of the general exponential function. 2.…

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

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Q: Sketch the graph of the function. y = e−x/2

A: Graph of the function y = e-x2

Q: Q3, sketch the graph of th function y= x-4x +3

A: Given y=x2-4x+3y=x2-4x+4-1y+1=x2-4x+4y+1=(x-2)2   Hence it is an upward facing parabola with vertex…

Q: Express the solution as a piecewise-defined function and think about what happens to the graph of…

A: (c) In this question, we have to use the property of the Heaviside unit step function about t=5.…

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function:

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.