The graph of y=f(x) is shown in blue. Draw the graph of y=f(3x), shown in red, by determining how a stretch or compression will transform the location of the indicated blue points. Drag the movable red points to the desired coordinates.

Q: Given the parent function f(x)=2^x and the translated function g(x)=2^(x+3) , determine the effect…

A: Let's say we have graphed a function f(x) such that x is the independent variable and f(x) is the…

Q: Find the oblique asymptote of 2z2-9z+15 f (x)= I-5 Section 3.4 O y = 2x + 1 y = 2x-19 O y = 2x- 9 O…

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Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: The area of the largest rectangle that can be drawn with one side along the x-axis and two vertices…

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: Solve the given equation by selecting the graph of two related functions and finding their polnts of…

A: 3(x-3)2-147=0

Q: Find the formula for a function of the form y=be^((-(x-a)^2)/2) with its maximum at the point (0,5).…

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Q: itially contained 8000 L of pure water. The resulting concentration of the solution in the tank can…

A: In the given question, concept of limit on maximum concentration is applied and asymptote is clearly…

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: using​ INTERSECT, approximately ___ minutes need to elapse before the pizza is 170°F.

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Q: For the function f(x)=3cot*x determine its stretching factor and phase shift, and then graph it for…

A: fx=3 cotx Comparing with fx=Acotx, we get A=3 Now the stretching factor is, A=3 Phase shift is 0.

Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: Find the directions in which t and decrease most rapidly at function in those directions.

A: given function fx,y,z=lnxy+lnyz+lnxz           =2lnx+lny+lnz             ∵lnxy=lnx+lny to find in…

Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: 1-Sketch the curve for f(x)= =-2r+4 x-2

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Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

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Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: The function g is difirentiable and satisfies g(-1)=4 and g'(-1)=2. what is the approximation of…

A: given g(-1)=4 and g'(-1)=2.         g(-1.2)=?

Q: let f(x) = -0.4x^2 +14x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Standard equation = ax2 + bx + c

Q: 10. Find a function y = ax +bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: Consider the production function:           Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of…

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Q: Graph the function h(x) =2 ln(x+3) as a transformation of f(x) =lnx

A: Given the function: hx=2lnx+3 baseline function : fx=lnx

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

A: Ux =0x&lt;01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when…

Q: For the function f(x)=6cotx determine its stretching factor and phase shift, and then graph it for…

A: Ans:  Given,  fx=6 cot x  We have to find the stretching factor and phase shift and   then graph it…

Q: The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula…

A: If the graph shifts horizontally, then the point (3 , 36) on the graph of g must correspond to a…

Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

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Q: Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find…

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

Q: For the function f(x) = 2cot x determine its stretching factor and phase shift and then graph it.

A: Given : The function f(x) = 2cot x

Q: Each gives the first derivative of a functiony = ƒ(x). (a) At what points, if any, does the graph of…

A: given that y'=4x2-x4and y=f(x)

Q: Determine the equation of the function f(x) if it has a hole (point of discontinuity) at (6,3) and a…

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

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Q: 4. Identify and sketch the graph of three distinct level curves of the function. f(x, y) = Ln(y –…

A: Given that the function fx, y=lny-3x. We have to sketch the graph of three distinct level curves of…

Q: shift

A: Given the function f(x)=4cotx To determine its stretching factor and phase shift, and then graph it…

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.

A: The given function is,

Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: Pictured to the right is the graph of the first derivative, f'(x), of a polynomial function (x),…

A: The equation of tangent line to the curve y=fx drawn at the point x=a is  y-fa=f'ax-a⇒y=fa+x-af'a…

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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Q: 6. Find the values of x for which the line tangent to the graph of f (x) = 4x2 – 3x + 2 has a…

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Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C &gt; 0 moves it up C &lt; 0 moves it down If y = f(−x), then Reflects it…

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: Sketch the graph of h(t) = |t| + |t + 1|

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Q: 4) Sketch the graph of the derivatives f' of the given graph below on the same grid.

A: The derivative of a function at a point is the value of the slope of the tangent to the function at…

Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

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