If f(3) = - 3, write an ordered pair that must be on the graph of y = f(x + 4) + 5

Q: Explain the graph of the equation x - 3y = 6 using the slope-intercept form

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Q: The diagram shows the curve y= 4x –x and the straight line x=4.

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Q: If r is an x-intercept of the graph of y =   ƒ(x), what is an x-intercept of the graph of the…

A: To find: The x- intercept of the graph of y=f-x. Given: The  x- intercept of the graph of y=fx is r.…

Q: 3, write an ordered pair that must be on the graph of y = f(x ·

A: Given: f(-4) = -3       To determine: An ordered pair that must be on the graph of y = f(x-3) - 1.

Q: Graph the equation f(x) = (x2 - 1) / (x2 - 4) in a rectangular coordinate system.

A: For the x-intercepts, we set the numerator equal to 0. So, x=-1 and x=1.    To find the y-intercept…

Q: Graph the line. f(x)=2/3x + 2

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Q: Graph the function : y= f(x)=, - 2x² + 3x + 2 3

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Q: Find the intercepts and then graph the line for f(x)=-2-2x

A: The given function is,

Q: Find the point on the graph of the equation fx=x²-8 that is closest to the point 0,-2|

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Q: Which of the answer choices shows the graph of y = f(÷x – 1) – 4? -

A: Given that: The graph of the function y = f(x) :

Q: How do you obtain the graph of y = f(x + 2) from the graph of y = f(x)?

A: Known fact: It is known that the graph of y=fx+a,  a>0 can be obtained by shifting the graph of…

Q: Write the equation for the graph of h(x). -1 -2 h(z) - - 21 h(z) - + 2] h(z) - |+2 h(x)--1지-2

A: Graph varify problem......

Q: Match the equation with its graph. x² + 2z2 = 1

A: Graph of  x^2 +2z^2 =1 is

Q: Graph the equation : f(x) = (x - 1)2(x - 3)

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Q: If 13, b2 is a point on the graph of y = 4x + 1, what is b?

A: The given equation of the line is, y=4x+1 It is given that the point 13,b2 is on the graph of the…

Q: Write the equation for the graph. 5. 4- 2 -8 -7 -6 -5 -4 4. 1- (-1, =1) -2 (0, –2) -3 |(1, –4) -4 -5…

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Q: Find the slope of the graph of y = (3x - 1)3 - 4(3x - 1)2 at x = 0.

A: Slope of a graph at a point is determined by the value of the first derivative at that point. For…

Q: A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement…

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Q: Use the five-step strategy to graph f(x) = 2(x + 2)2(x - 3).

A: The given function is a polynomial function, so it is continuous everywhere and thus, it has no any…

Q: What is the graph of y = f(x+ 1) - 2?

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Q: I need to graph f(x)= x^2+3. And I need to know why it's graphed that way.

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Q: Find the horizontal intercepts as a list of ordered pairs. f(x)=2x2+4x−5

A: From the sketch shown below, note that on the horizaontal intercepts, y=0. Using this concept we…

Q: Find an equation for the graph of the set of points whose distances from (3,0) and (-3,0) always add…

A: We have to find the equation for the set of points.

Q: What is the y-intercept of the graph of the line y = f(x)?

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

Q: Explain how many x-intercepts would you expect to see on the graph of y = x2+ 4x + 5.

A: Answer

Q: Graph the function 3 Y = -4Vx – 2

A: y=-4 x-23 now at x=0y=-4 0-23y=5.04now at y=0 0=-4 x-23x-23=0x-2=0x=2

Q: If f(4) = – 1, write an ordered pair that must be on the graph of y = f(x+ 5) – 4

A: The solution is given below:

Q: Graph f(x) r-31-9x + 2. 3x2

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

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Q: Graph f(x) = 2x and g(x) = 2x+1 in the same rectangular coordinate system.

A: Given: fx=2x, gx=2x+1 for drawing graph of given function, first we will simplify given gx so,…

Q: Graph f(x) = 2x+1 and g(x) = 2-x+1 in the same rectangular coordinate system. Then find the point of…

A: To graph the function fx=2x+1  and gx=2-x+1. To draw the graph of fx=2x+1. When x=0 then fx=2. So,…

Q: State the equation of a relation whose vertex would be lower than the origin and to the left of the…

A: We have to find the equation of the relation whose vertex is lower than the origin and left to the y…

Q: The graph of y = 3(x - 2)3 + 2 always increases except at x=,

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Q: How does the value of a affect the graph of y = ax2 if a <=0?

A: It depend if a = 0 Or a is less than 0

Q: Describe how the graph of the equation relates to the graph of y = x2. 3) f(x) = (x - 3)2 + 4

A: Given:  y=x2fx=x-32+4 To determine: The relation between the graph of fx and y=x2.

Q: What is the graph of Y=-2x+0

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Q: How do you obtain the graph of y = f13x) from the graph of y = f(x)?

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Q: The standard form of a quadratic relation whose equation in vertex form is y = - (x - 2)^2 + 9, may…

A: The solution is given as

Q: IDo y = X +5 X, X- axis

A: (10) The equation of the curves are : C1 : y = x2+5x C2 : x-axis To evaluate : The area bounded by…

Q: How will the graph of line v=-3x + 8 be affected if the 8 is changed to -3?

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Q: If f(-2) = 2, write an ordered pair that must be on the graph of y = f(r + 4) – 3

A: Ordered pair represents the position of a point. X axis represents the left or right position , if…

Q: graph 4-x-2y> equal to 6 y<x

A: Given:

Q: Select the graph that has the same point of inflection as f(x) = x³ – 6x² + 12x – 8

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Q: What is the graph of y = †x³

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Q: Use the graph to write an equation for the function. y = y (0, 3) -6 -4 -2 4 -2 -4 -6 2.

A: Base or parent graph of this graph in y=tanx now we perform shifting ,scaling and reversal on parent…

Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation…

Q: If the slope is an integer, such as 2, why should I express it as 2/1 for graphing purposes?

A: The slope is defined as the ratio of the vertical change between two points.   Suppose, Point A…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.