(b) Suppose the graph of f(x) is given. Write an equation for the graph of newly transformed f(x), where, f(x) is shifting 2 units left, then 2 units downward, then reflecting about the r axis and finally shrinking vertically by a factor of 2.

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

A:

Q: Identify the domain, y-intercept, and 2x -6 x-intercept(s) of f(x) - x'-16 2х -6 By hand, sketch the…

A: Identify the domain, y-intercepts and x-intercepts of fx=2x-6x2-16 Sketch the graph of fx=2x-6x2-16

Q: 2(4). The given lines are the main diagonal and the graph of f (x). Graph f (x) if it exists. If…

A: We need to graph the inverse function. Firstly, check whether the function is one-one and the…

Q: f'(x) > Ofor 0 4. f"(x)>0 for -1<x<1

A: When f'&gt;0 then function increasing When f'&lt;0 then function decreasing When f''&gt;0 then…

Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: Consider the following. y = (x − 6)2 + 1 (a) Tell how the graph of  y = x2  is shifted.

A: Please look at the graph below:

Q: Consider the function y=f(x). Describe the graph of each transformed function: a) y=-f(x-2)-1 b)…

A:

Q: Explain the two transformations that occur to the graph of y = Vx to produce the graph of y =-Vx +2.

A: Given:            y=x  to   y=−x+2.

Q: r-2 a) Sketch the graph of fx) = 2 -4, clearly showing any intercepts with the axes. b Write down…

A: The equation of the curve can be plotted using the points on the curve. The y-intercept of the curve…

Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3…

Q: Sketch the graph of f (x) = 1/6x3 - 3/2x2 + 5x + 1.

A: To Sketch the graph of function f(x)=16x3-32x2+5x+1

Q: Figure 24(A) is the graph of f(x) = x 2 , and Figure 24(B) is a horizontaland vertical shift of (A).…

A: The graph A of f(x)=x2 is

Q: 1. Determine the graph of which function match to equation y = (0.5).

A:

Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: Find the inverse of ƒ(x) = x + b (b constant). How is the graph of ƒ -1 related to the graph of ƒ?

A: To find the inverse we plug f(x)=y Then switch x and y and solve for y

Q: If F(3)=5 and F(7)=7 What is the slope of the graph F(x)?

A:

Q: If f(x) = 2x² – 3x + 1, use transformations to graph y = -f(x) and y = f(-x).

A: Given, f(x)=2x2-3x+1 To graph: y=-f(x)  =-2x2-3x+1  =-2x2+3x-1y=f-x  =2-x2-3-x+1  =2x2+3x+1 So,…

Q: Use the graph of y=f(x) to answer the following. Part 1 of 8 (a) Determine /(-4). (-4)=0 Part 2 of 8…

A: given graph of f(x)

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: Suppose the cuyahoga river is polluted with 285 parts per million (ppm) of a toxic substance, and…

A:

Q: y g(x)

A:

Q: Graph: f(x) = 3x

A: Concept;   The calculus helps in understanding the changes between values that are related by a…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: