The exponential function, f(x) = 2^x, undergoes two transformations to g(x) = 1/3 x 2^x - 7. how does the graph change? select all that apply. a. it is vertically compressed. b. it is vertically stretched. c. it is shifted right. d. it is shifted down e. it is lipped over the x-axis.

options A and D are the correct options.

Step-by-step explanation:

The parent exponential function is f(x) = 2ˣ

Now this function undergoes two transformations to form g(x) =

When parent function f(x) = 2ˣ  is multiplied by , this means f(x) has been compressed vertically because < 1.

Now we subtract 7 from the new function , that means we are shifting this function 7 units downwards on y-axis.

Therefore, options A and D are the correct options.

1) is right

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it