Please help me with this if you know how to do it

9514 1404 393

  5.  stretch/compress

  6.  horizontal shift

  7.  vertical shift

Step-by-step explanation:

Consider the form ...

  g(x) = a·f(x -h) +k

This set of transformations is ...

__

Comparing this to your questions, with f(x) = x^2, you have ...

5.  'a' effects stretch/compress

6.  h effects horizontal shift

7.  k effects vertical shift

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places