Vertical Shift DownUse the graph of f1x2 = x2 to obtain the graph of h1x2 = x2 - 4. Find the domain and range of h.

Q: cetch the graph f(x) =

A: The given function is  fx=-3-x2. To draw the graph by not plotting points and by drawing from basic…

Q: Determine the x coordinate of the graph h(x) = x^3-3x^2+9x+8

A: we have to find the x-coordinate of the given function h(x)=x3-3x2+9x+8

Q: The graph of y = 3f(x) is the graph of y = f(x) with a (choose one: vertical stretch, vertical…

A: The stretching or shrinking of the graph is known as the scaling on graph.

Q: Describe how the graphs |x| and y=|x| -15 are related

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Q: Find the vertex of the graph of the equation. y = x2 − x − 3 (x, y) = (  )

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Q: Describe how to obtain the graph of g and h if g6) = 2(x +2)- 3 m (x) = 2x? and h (x) = 2(x-3)2+2…

A: gx=2x+22-3, mx=2x2 and hx=2x-32+2   The graph of gx=2x+22-3 is obtained by horizontally shifting the…

Q: %3D If (- 5, 1) is a point on f(x), write an ordered pair that must be on the graph of y = f(x – 5)…

A: Given -5,1 is a point on fx i.e. f-5=1

Q: Find the graph

A: We have to find the graph of  y = (x2(x + 1))1/3

Q: 2. Graph y-√x, y-2√x and y-√2x on the same set of axes. State the domain and range of all three.

A: Here, the three functions are y=x, y=2x, y=2x

Q: Identify, sketch and name the graph of the equation in R³. Z = 1 – lny

A: Solution:Z = 1-ln(y)ln(y) = 1-Zy = e1-zy - e1-z = 0f(x,y,z) = y - e1-z = 0Traces xy plane (Z= 0) y -…

Q: Write an equation for the graph in the form y= a(x-h +k, where a is either 1 or -1 and h and k are…

A: The given form of the equation is the equation for the parabola. Let the value of h = 0 and k = 1.…

Q: Write an equation for the graph in the form 2 y= a(x - h) + k, where a is either 1 or - 1 and h and…

A: We know that graph of a quadratic polynomial ax2+bx+c will have an upward opening if the coefficient…

Q: Given; f(x) = 3x4 - 15x3, Solve; a. Use the Leading Coefficient Test to determine the graph’s end…

A: We have given a function; 3x4 - 15x3

Q: a) Use the leading coefficient test to determine the graph's behaviour. b) Find the x-intercepts c)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Marijuana Use The percent p of high schoolseniors who ever used marijuana can be related tox, the…

A: Given function is: 25p+21x=1215 a). The x-intercept of the graph of this function. Put p=0…

Q: Graph the function to find the x-intercepts. y=x^2 -4x-96   Use the graph tool to graph the…

A: To Determine: Graph the function to find the x-intercepts. also graph the equation. Given: we have…

Q: Use the graph to select the correct answers below. AMAYA -8 2 4 What is the zero of Amaya's graph?…

A: From the graph we can see that the line meets x-axis at the point -2, 0. Therefore zero of Amaya's…

Q: 2- -2 6- -8-

A: The graph of function y = f(2x) can be obtained by the transformation of y = g(x) by compressing the…

Q: ) Graph: f(x) = -x² + x + 6. Find the (a)vertex and determine if it's a maximum or minimum point,…

A: Given: f(x) = -x2 +x+6 To find: (a) Vertex and to determine its maximum or minimum point. (b) Axis…

Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y = 2 -…

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Q: 2-2r -15 2. Without graphing, explain what the graphpf S (x) – A 10 will look like.

A: 2) Consider the function fx=x2-2x-15x2-7x+10 Here, the objective is to determine shape of the graph…

Q: The graph of y = −f(x) is a reflection of the graph of y = f(x) in the y-axis.Determine whether the…

A: Given, The graph of y=-f(x) is a reflection of the graph of y=f(x) in the y-axis.

Q: Graph the function ƒ(x) = 1/x. What symmetry does the graph have?

A: Given, fx=1x

Q: Identify the graph of y (x+3)(x-3) . Then find the x-intercept(s), vertex, and axis of symmetry.

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Q: solve x^2-5x+6>=0 sketch the graph

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Q: Determine the graph of the equation. x² + y2 - z² = 9 Choose the correct graph of the equation. Oc.…

A: The equation of the curve is given by x2+y2-z2 = 9                                   ......(1) To…

Q: Write an equation for the graph in the form y= a(x - h) are integers. + k, where a is either 1 or -…

A: We find the equations of parabola that is in this given form-  y = a(x-h)2 +k ; where a is -1 and 1.…

Q: Create a graph that best represents f(x)=6x^2-5. Then identify the vertex and find the axis symmetry

A: This question is based on graphing a parabola.

Q: Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate…

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Q: Exploration Graph y = x2 . Then on the same screen graphy = x2 + 2, followed by y = x2 + 4, followed…

A: y=x2 The graph is,

Q: (b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis and…

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Q: 322 – 12 Graph x2 - r- 12

A: Here, Domain of  3x2-12x2-x-12 is -∞ , -3∪-3, 4∪4, ∞ . Range of 3x2-12x2-x-12 is   (-∞ ,…

Q: Graph. y-5=x3 ..... Use the graphing tool to graph the equation. Click to enlarge graph

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Q: state the vertex (x,y) state the range state the x interval on which the function is decreasing…

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Q: (a) Write an equation for a graph obtained by vertically stretching the graph of y = x by a factor…

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Q: q(x) = 5x² – 3x - 10 %3D Describe the behavior of the graph of q(x) as x ±∞.

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Q: Let g(x)  = 3√ (1 -x3) .(a) Find g-1 . How is it related to  g?; (b) Graph g . How do you explain…

A: a. Consider the given function, gx=1-x33 it can be expressed as, y=1-x33 now replace x with y and y…

Q: Graph h(x) = -3(x+2)² + 9 by determining whether its graph opens up or %3D down and by finding its…

A: Given data:   The expression for the given function is h(x)=-3(x+2)2+9.   The given function can be…

Q: Determine whether the graph of the following equation and/or function has symmetry about the x-axis,…

A: To check whether the graph is symmetric about x-axis,   A graph is symmetric about x-axis if every…

Q: 2x2 - 4x +5 Graph r(x) = - and state the domain and range. x - 2x +1

A: We have, 2x2-4x+5x2-2x+1   Now to get the domain for the function, equate denominator with zero.…

Q: la Graph the function f)= 2xcX -4) (xt 3] 2x(x-4)(xt3)

A: Given

Q: fu) - 8 - 2x* - (a) Find f'(x). rw) - -? – 4x (b) Graph 8 888 8

A: Given: ---------------------------------------------------------------------- To find: intervals…

Q: Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.…

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Q: Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate…

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Q: Graph the function. h (x) = - 3x² Plot five points on the graph of the function: one point with…

A: NOTE: Refresh your page if you can't see any equations. . to graph the function we need a few…

Q: Determine whether the graph is symmetric with respect to the x-axis, y-axis, and the origin. 4x2 -…

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Q: Graph: y =f(x) = 2x² + 8x . Give the coordinates for the vertex, the x-intercept(s) (if they exist),…

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Q: Graph f (x)=-x² + 4x-3, using f(x)=a(x-h)² +k and find the following A) Does the graph open up or…

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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.