6. State the transformations, in words, that were applied to y = log₁0x to get y = -2log10 (x + 4) - 3. Then use mapping notation to sketch the function y = -2log10 (x + 4) - 3.

Q: As t-> positive infinity, (0.4+(1.03)^t) ->    info: Find the long run behavior of each of the…

A: We need to find the value of the expression  (0.4+(1.03)^t) when t à ∞.

Q: Sketch the Graph of the following functions. y= (×-3)^2 + 2  y= (×+3)^2-1

A: Graph of the functions  y=x-32+2 & y=x+32-1

Q: Use the "Big Idea" of transformations to find equations for these two functions.

A:

Q: Write the exponential equation for the function going through the points (4,8) and (2,-6) and has a…

A:

Q: describe the transformation of the function y=1/x+3 -4 from the parent function y=1/x

A: Transformation means how much a function moves to the left, right, up or down from the parent…

Q: Construct the graph of the following function Y = x3 - 2x2 - x + 3, indicating its domain, range,…

A: The given function is y=x3-2x2-x+3. Consider some values for x and evaluate the corresponding values…

Q: Use exponential regression to find the value of y when x = 50. Round your answer to the nearest…

A: So, y will be a function of x, of form    y = a*ebx + c    where a, b and c are some constants , and…

Q: Challenge 9

A: We are asked to find the equation of the dash line

Q: A 100-liter tank contains a 25% dye solution. A 40% dye solution is allowed to enter the tank at…

A: 1st we have to make a differential equation for amount of dye in the tank and then solve it to get…

Q: Describe the transformations to the graph of f(x) = 3* to produce each of the following functions.…

A: The given functions, a) gx=4×3-x+1 b) gx=35x-3-2. We have to write the transformations of the…

Q: A school opened with 100 students. The number of students has increased by 25% each year since the…

A:

Q: Calculate the value of -2x - if x =1/2

A: Given: x =1/2