2. We know that the point (4,-12) is on the graph of the function y = f(x) (a) Find a point on the graph of g(x) = f(x - 3) (b) Find a point on the graph of g(x) = f(4x) (c) Find the point on the graph of g(x) = f(x) – 3 (d) Find the point on the graph of g(x) = f(x)

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Q: The equation of a quartic function with x-intercepts at 1 (order 2), -3 (order 1), 2 (order 1) and…

A: Let's find.

Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

A: a)  Number of substitutes  =  20*0.8 + 2  =  18     Hence,  Money paid by LHS for substitutes  =…

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Q: 24: Find the extreme points of the function f(x) = x + y ху On the circle x+y=2

A: We shall find out extreme points of the function in the next using the a equation of circle.

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Q: ) Suppose we shift the graph of f vertically downwards by h units such that the maximum turning…

A: Given, the function f and g are defined by              f(x)=acosk(t-b)and              g(x)=mcsc…

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

A:

Q: 6. Determine the absolute maximum values of the function f(x) = x³ – 6x –1 where xe [-2,3]

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Q: 1. Find x- and y- intercepts of the graph of f, if it has any.

A: Note: As you have posted the multiple numbers of questions, so we are going to solve the 1st…

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A: Topic - functions

Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

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

A: We have to solve

Q: In this problem, we'll walk through the steps to find the area of the rectangle bounded by: The line…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

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A: Given

Q: 2. If the point (3, 27) lies on the graph of the function f(x) = x³ , what point must lie on the…

A: Given point is (3,27) Function f(x) = x3f(3) = 33 = 27 The graph is

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A: fx=x2-6x The graph is,

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A: Given,         The graph of f(x)=3x  is reflected about the y-axis and stretched vertically by a…

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Q: (5) The point p =2 is a fixed point of the function g(x) = = +1. Show if it is attractive or…

A: please see the next step for solution

Q: Given the function g(x) = 8x³ + 12² – 48x, find the first derivative, g' (x). g'(x) = Notice that…

A: We can solve this as follows:

Q: 1. Find the absolute maximum and minimum of y = x³-3x² + 2, [-1, 3]. Sketch the graph.

A: Given function is y=x3-3x2+2

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: topic - application of derivatives $9000 at 75 units

Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

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Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

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Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=

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Q: (5) The point p = 2 is a fixed point of the function g(x) = - +1. Show if it is attractive or…

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Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

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

Q: 1. Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x2 - 4 / x - 2 are…

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Q: 6) Find the absolute maximum and absolute minimum values of f(x)= 2x-3x -12x+ 24 on the closed…

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Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: The graph of y= f(x)= √x-9 is horizontally stretched away from the y-axis by a factor of 3 to…

A:

Q: Can you help with this problem step by step?

A: Given: -

Q: 4. The quadratic function f(x) has a turning point at (-3,6). The quadratic y=÷f(x)+3 would have a…

A:

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: 12) Find the coordinates of the absolute maximum and absolute minimum of f(x) = x^3 + 3x^2 - 9x +3…

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Q: 7- -6 -5 -2 4 -5 -6 -7

A:

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

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Q: point

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Q: Question 2: Identify the co-ordinates of any local and absolute extreme points and inflection points…

A: Given: y=4x3+21x2+36x-20y'=12x2+42x+36=0⇒2x2+7x+6=0⇒x=-2   or  x=-32

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

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 7. a) Determine the restrictions on the y- intercept so that y = 3x2 + 6x - 1 intersects with a line…

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