Given that f(x) is a function, and h(x) is the transformed graph of f(x). Describe the transformations that occur in the function h(x)=f(x-2)+3.
A
Shift to the left by 2 units and a shift up by 3 units
В.
Shift left by 2 units and a shift down by 3 units
Shift right by 2 units and a shift down by 3 units
D. O Shift right by 2 units and a shift up by 3 units

D) Shift right by 2 units and a shift up by 3 units

Step-by-step explanation:

Recall:

Vertex Form ->

Horizontal Shift ->

Vertical Shift ->

Therefore, if and , then the graph shifts right by 2 units and shifts up by 3 units.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: