Starting with the graph of y − ex, write the equation of the  graph that results from(a) shifting 2 units downward(b) shifting 2 units to the right(c) reflecting about the x-axis(d) reflecting about the y-axis(e) reflecting about the x-axis and then about the y-axis

Q: Starting with the graph of f(x)=9^x, write the equation of the graph that results from (a) shifting…

A: Starting with the graph of f(x)=9^x, write the equation of the graph that results

Q: Sketch the graph of the equation 3x − 3y + 1 = 0

A: Given equation:  3x − 3y + 1 = 0

Q: Suppose the graph of y = – x² + 5x – 7 is reflected across the x-axis. The equation of the new graph…

A:

Q: Write the equation of the translation and reflection of f(x) =|x| as illustrated in this graph:

A: Given, f(x) =|x| The graph of f(x) =|x| is as shown below :

Q: Sketch the graph of the equation x − 3y + 12 = 0 .

A: To sketch: The graph of the equation . Graph: Substitute in equation . Substitute in equation .…

Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. y O y = 15 x 7x X

A:

Q: Starting with the graph of f(æ) = 2", write the equation of the graph that results from a.…

A: Given: f(x) = 2x

Q: Graph: x2 + y2 = 1. Then locate the point (-1/2 , √3/2) on the graph.

A: The given equation x2+y2=1 represents a circle with centre at origin with radius 1unit. The graph is…

Q: x² + y² 3. Find the equation of the curve whose slope at any point is equal to and which passes…

A:

Q: The population of a rare fish in North America has been decreasing steadily since 1968, and it has…

A: Find your answer below

Q: Ex-y2 6 y2 -8 x2 -8 e graphing tool

A: we have to graph the following equations using the graphing tool. -2x-y≥6           y≥-8…

Q: Starting with the graph of f(x) = 4*, write the equation of the graph that results from (a) shifting…

A: solution:-

Q: Sketch the graph of y=x+4 and give the exact coordinates for both the x-intercept and the…

A:

Q: The graph of y = 1x - 22 2 may be obtained by shifting the graph of____to the (left/right) a…

A: Assuming that the function given is: y=(x-22)2

Q: Graph t(x) = (x – 2)³ + 1 by starting with the graph of y = x³ and using transformations.

A: We know that the graph of y=x3 can be plotted on co-ordinate axis as

Q: Starting with the graph of f(x) = 6ª, write the equation of the graph that results when: (a) f(x) is…

A:

Q: Starting with the graph of f(x) : 7", write the equation of the graph that results from (a) shifting…

A: graph of  f(x)=7x

Q: . Find the equation of the graph. Oy Y = = x y = -a Oy = r 2y=-²0 I -

A: Topic:- equation of straight line      As we know that equation of line is given by  y= mX +c

Q: %D yS-x+2 %3D x22 y >-x + 2 II

A: Plotting  y≤-x+2 on the graph   Plotting  x≥2on the graph

Q: Determine whether the graph of the below equation is symmetric with respect to the y-axis, the…

A: To test symmetry we have fellowing rules y axis : put x = -x  if the function is still equal to…

Q: For the equation below, determine whether its graph is symmetric with respect to the x-axis, the…

A:

Q: Please find attached

A: To sketch the graph of the equation given.

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A:

Q: . Does the graph of y = Vi - In x, x > 0, have an inflection point? Try to answer the question (a)…

A: y=x-lnx

Q: Determine if the graph of the equation | x | + y2 = 9 is symmetric with respect to the x-axis…

A: Tests for each of the different types of symmetry are:A graph will have symmetry about the x-axis if…

Q: Starting with the graph of f(æ) = 3ª, write the equation of the graph that results when: (a) f(x) is…

A: The basic function here is f(x)=3x

Q: d. Consider the graph of y = f (x). Fill in the blanks: -3 -1

A:

Q: 1. Graph y+2=7(x+4). Use the graphing tool to graph the linear equation. Click to enlarge graph

A:

Q: Q3\ Sketch the graph of the curve 1- y=x² +2

A:

Q: The graph of y = fA-x) is the graph of y = f(x) reflected about the

A: To understand the graph of a function y = f(-x) and y = f(x)

Q: Starting with the graph of y=3x, write the equation of the graph that results from (a) shifting 2…

A:

Q: Starting with the graph of f(x) = 5ª, write the equation of the graph that results from (a) shifting…

A:

Q: Starting with the graph of f(z) = 7", write the equation of the graph that results from (a) shifting…

A: Use shifting property of graph

Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

A:

Q: Identify the graph of the given equation. x=-2y2

A: The given equation is x = -2y2. On comparing it with y2 = ±ax, we can see that a = -12. This is a…

Q: (b) Sketch the graph of y = x² + b for b = ±1, ±2, and +3 in a single coordinate system.

A: To graph the function,  y = x2 + b For b = -3, -2, -1, 1, 2, 3 On a single coordinate system.

Q: If the graph of y = f(x) undergoes a horizontal stretch or shrink to become the graph of y = g(x),…

A: Given that, y= f(x) is a function. f(x) will undergo a horizontal compression when the scale factor…

Q: Find​ y-intercept of the graph.   5x=20−4y

A: Given- 5x=20-4y To Find- y- intercept of the above equation. Concept Used- To find y- intercept  ,…

Q: starting with the graph of f(x)=4x, write the equation of the graph that results from a. reflecting…

A: given function                 f(x) = 4x

Q: h) The y-intercept if you graphed y = 2X (0.1) %3D

A: Given h) y=2x

Q: Find the dependent value for the graph y = 15 – 3x when the independent value is 2. %3D y = [?]

A: Consider the dependent variable y=15-3x Here, the objective is to find the value of dependent…

Q: Starting with the graph of f(x) = 6², write the equation of the graph that results from a. shifting…

A: Given:   f(x) = 6x

Q: Starting with the graph of f(x) = 5ª, write the equation of the graph that results when: (a) f(x) is…

A:

Q: Starting with the graph of f(x) = 9ª, write the equation of the graph that results from (a) shifting…

A:

Q: Sketch the graph of the equation

A: To sketch the graph of the equation y = x - 1.

Q: Starting with the graph of f(r) = 2", write the equation of the graph that results from a. shifting…

A:

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A:

Q: Sketch the graph of the equation. x2 + y2 + 4x – 10y = 24

A:

Q: Sketch the graph of the equation x + 2y + 6 = 0

A: Sketch the graph of the equation x + 2y + 6 = 0

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.