Is the graph of f (x) = x2 + 2x + 4 a y-axis reflection of f (x) = x2 - 2x + 4? Defend your answer.

Q: The graph of the function x = y² + 5 is symmetric about %3D the

A:

Q: how is the graph g(x)=(x-6)^2-4 related to the graph of f(x)=x^2?

A: In this question transfomation takes place.

Q: Explain how the graph of f(x) = 2Vx – I + 3 is related to the graph of y = Vx.

A:

Q: Sketch the graph of y = f(2x) and y = f(x), where f(x) = \x| +1

A: The figure below shows the graph of y=f(2x)=2|x| + 1.

Q: Find the point on the graph of y2 - xz2 = 4 nearest the origin.

A:

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

A:

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: Sketch the graph of x^2+6y=9y^2.

A:

Q: Find an equation for the graph sketched below 7- 4- -5 -4 -3 -2 -,VI 2 3 4 5 -2 -7- -8+ f(z) =| %3D…

A: Consider the provided graph, We need to find the equation of the above graph.

Q: Find & from the graph of y = f(x) = x² below: y = x^2 1.44 1 0.56 x1 x2

A: We have  y = f(x) = x2

Q: Find an equation for the graph sketched belo 구 -5 4 -3 -2 -1 3 4 -2 -3 -4 -6 -7- -8+ f(x) =| 3. 2.

A: The solution is given below:

Q: Are the graphs of f (x) = 2√x and g(x) = √2x identical? Defend your answer.

A: Are the graphs of f (x) = 2√x and g(x) = √2x identical? Defend your answer. The function f(x) is…

Q: Sketch the graph of y = 4x/(x + 1)2, x > -1.

A: To sketch the graph of y=4xx+12, x>-1 Since x>-1, we consider values of x greater than 1, and…

Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

Q: Which is the graph of the ine y-2 = 3(x - 1)?

A:

Q: f(x) = 4 %3D f(-1) =

A: We have f(x) = 4. So,           And f(-1) = 4.

Q: Find the minimum and maximum of y = f(x) = x³ – x² – 3x + 2

A:

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given          r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: 4) y= V4x + 8 -2 9-

A:

Q: Where is the graph of R(x) = x3 - 8/x2 - 25above the x-axis?

A: The graph of the equation x3-8x2-25

Q: 4y Ay 2. 4. 2. 2.

A:

Q: show that the x-intercept of the graph of Ax+By=C is (c/a,0)

A: Given equation,

Q: What is the graph of xy = 0? Defend your answer.

A: Given, xy=0 ⇒y=0⇒x=0

Q: Explain how the graph of f(x) = mx + b can be used to solve mx + b > 0.

A: f(x)=mx+ b

Q: orm f(x) = ar² + bx +c whose graph %3D

A:

Q: Plot the graph of Y=3x – 4 between x= -2 and x=4

A: Given equation: Plot the graph of y = 3x-4: The graph is:

Q: Are the graphs of f (x) = √(x + 4) and g(x) = √(-x + 4) y-axis reflections of each other? Defend…

A: Are the graphs of f (x) = √(x + 4) and g(x) = √(-x + 4) y-axis reflections of each other? Defend…

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

A:

Q: Identify the graph of 3x2 - 2√3xy + y2 + 2x + 2√3y = 0.

A: The given curve is 3x2 - 2√3xy + y2 + 2x + 2√3y = 0. using any graphing calculator, sketch the graph…

Q: Explain the effect that the constant a has on the graph of y = ax². Be sure to consider a 0.

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where (h,k) is the vertex of the parabola…

Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Find an equation for the graph sketched below 7- 5- 4- 2 -5 -4 -3 -2 -4 2 3 4 5 -2 -3 -4 -- -7 -8-…

A: From observing the graph, it can be seen that the given graph is of exponential form, i.e. y=ax+b.…

Q: Sketch a graph of = -t– 2, y=t- 2.

A: NOTE: Refresh your page if you can't see any equations. . make a table value to graph the functions

Q: The graph of y = x^3 is translated to create a cubic function f(x) with x-intercepts at (-4,0),…

A: Given   x-intercepts are (-4,0), (-1,0) and (4,0).   Therefore factors are (x+4) , (x+1) and (x-4)…

Q: Sketch the graph of x − y2 = 1.

A:

Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

A:

Q: How is the graph of y = f(x+2) – 1 obtained from the graph of y = f(x)? %3D

A:

Q: What causes the graph of y = x² to open downward?

A:

Q: What point on the graph of y = x² is closest to the point (3,0)?

A:

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: Sketch the graph using the transformation process. f(x) = 3e1-x + 2

A: Given: The function is f(x)=3e1-x+2. Consider the function f(x)=ex.

Q: Find an equation for the graph sketched below: 8- 7- 2- -5 4 -3 -2 - i 2 3 4 5 -2- -7 -8- f(x) =

A:

Q: The graph of Y f() (solid) and y = g(x) (dashed) is shown %3D 2+ -6 -5 4 -3 -2 -1 2 3 4 5 -3 -4 -5

A: Given query is to find indicated limits.

Q: Explain how to identify the graph of : Ax2 + Cy2 + Dx + Ey + F = 0.

A: If an equation has a square form of the variable  or a square form of the variable  or a square form…

Q: The axis of symmetry of the graph of f(x) = −2x² − 4 is the line y = 0. - Select one: True False

A: Given that the axis of symmetry of the graph of fx=-2x2-4 is the line y=0.

Q: Describe the shape of the graph of y=(x+2)(xto the power of 2-1) with regards to its intercepts

A:

Q: How does the value of a affect the graph of y = ax? if a s 0?

A: The given equation is,     y=ax2

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.