Write a logarithmic equation corresponding to the graph sh Use ylog,() as the parent function 7...

Question

Question

math algebra

Answer 1

Answer #1

the function shown in the graph has

vertical asymptote x = - 2

the graph of parent function

y = log ₃ (x) is vertically stretched by a factor of 2

and shifted 2 units upwards

so, equation is

y = 2 log ₃ ( x + 2) + 2

Add a comment

Answer 2

Similar Homework Help Questions

Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the...

Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the parent function. y = X y 8 6 4 NO x -8 -6 - 4 -2 2 4 6 8 (-2, -3) -6 Note that the equation of the given graph will be of the form f(x) = a logo function y = logb(x), and compare the x-intercepts and vertical asymptote identifiable intentheah halte determine the constanta
Directions: Using the graph of each function, identify the parent function, then write an equation for...

Directions: Using the graph of each function, identify the parent function, then write an equation for the function under each transformation. 11. a) Parent Function: b) Translate 4 units down and 3 units left c) Vertically stretch by a factor of 2, then translate 5 units left: 12 a) Parent Function: b) Translate 3 units up and 8 units right: c) Horizontally compress by a factor of %, then reflect in the y-axis a) Parent Function: 13. b) Horizontally stretch...
q8 Use the definition of a logarithmic function to write the logarithmic equation as an equation...

q8 Use the definition of a logarithmic function to write the logarithmic equation as an equation involving an exponent. log,81 = 2 The equivalent exponential equation is (Type an equation. Do not simplify.)

This Question: 1 pt Use the definition of a logarithmic function to write the logarithmic equation...

This Question: 1 pt Use the definition of a logarithmic function to write the logarithmic equation as an equation involving an exponent. log 981 = 2 The equivalent exponential equation is 92 = 81 (Type an equation. Do not simplify.) Write the equation in exponential form; then find the unknown value. log2x = 3 The exponential form of the equation is 8. (Do not solve the equation.) Solve the above equation for x. X= 8 This Question: If log 5...
Given the graph of the following function, graph the corresponding square root function on the same...

Given the graph of the following function, graph the corresponding square root function on the same grid. y 57 4+ 3 2t 1 + x 3 O -7 2. -6 -5 -2 4 -3 1 -1 2+ -3 -4+ -5
7. Use the graph or table to write a linear function that relates y tox. 5....

7. Use the graph or table to write a linear function that relates y tox. 5. NO 5 -4-3-2-1 2 4 6 8 x -8-6-4-2 --6-4-2 2 4 6 8 10 x 10. - 30 9.x х -8 - 4 0 4 -101 3 5 1-2 02 y21 0-1 -4 0 1 1. MOVIES The table shows the cost y (in dollars) of renting x movies. a. Graph the data. Is the domain of the graph Number of discrete or...

Use the definition of a logarithmic function to rewrite the equation in exponential form. 1 -3...

Use the definition of a logarithmic function to rewrite the equation in exponential form. 1 -3 = log2 8 (1)3 13 2 Solve for x by writing the equation in exponential form. 1 log 16(x) 2 X = -4 X Solve for x by writing the equation in exponential form. log;(2x + 17) = 2 + X = Write the equation in logarithmic form and solve for x. (Round your answer to three decimal places.) 7x + 5 0.36 e...
Identify the parent function of the function whose graph is shown below. 3 2 -8-7-6---5 -3-2...

Identify the parent function of the function whose graph is shown below. 3 2 -8-7-6---5 -3-2 0 3 4 5 6 -4 -5 -6 -7 Select the correct answer below: O ) = b O f(x) = mx + b O Of(x) = x Is the function shown in the graph below even, oddſor neither? 7 6 5 4 3 f 1 -10 0 -9 00 -7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6...
[21 Marks] APPLICATIONS: 1. Sketch the graph of y = -2(0.5) +5. [6] Parent function: y...

[21 Marks] APPLICATIONS: 1. Sketch the graph of y = -2(0.5) +5. [6] Parent function: y = 0.5 y=-2(0.5)' +5 у у х -3 -2 -1 0 1 х -3 -2 -1 0 1 State the following for the graph y = -2(0.5)* +5 Equation of the horizontal asymptote: y-intercept Range APPLICATIONS: [21 Marks] 1. Sketch the graph of y = -2(0.5)* +5. [6] Parent function: y = 0.5% y = -2(0.5)* +5 у у х -3 -2 -1 0...

Use the graph to write an equation for the function. y = у 6 4 2...

Use the graph to write an equation for the function. y = у 6 4 2 (0,1) -21