Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

the graph of f(x) = x2 is widened.
the graph of f(x) = x2 is shifted right 4 units.
the graph of f(x) = x2 is shifted down 36 units.
the graph of f(x) = x2 is reflected over the x-axis.

The answer to your question is the third option

Step-by-step explanation:

See the picture below

a) In the picture we observe that the parabola was narrowed not widened, so this option is incorrect.

b) From the picture, we conclude that the graph was shifted right 2 units, not four, so this option is incorrect.

c) From the picture, we observe that this option is the correct one.

d) We observe in the picture that this graph was not reflected so this option is incorrect.

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