Let f(x) = |x| for all real numbers x. write the formula for the function represented by the described
transformation of the graph of y = f(x).
c. first, a reflection across the xx-axis is performed, then a translation left 4 units, then a translation up 5 units,
and finally a vertical stretch with scale factor 3

f(x)= 3*(-|x+4|+5)

Step-by-step explanation:

Given the function f(x)=|x|

1. Transform the graph in a reflection across the x-axis:

You can transform the graph multiplying it by -1, so you have:

f(x)= -|x|

2. Translate the graph 4 units to the left:

You can translate the graph adding the number inside the absolute value, so:

f(x)= -|x+4|

3. Translate the graph up 5 units:

You can translate the graph up adding the number of units, but outside the absolute value, then:

f(x) = -|x+4|+5

4. Finally to transform the graph with a vertical stretch with a scale factor 3:

You should multiply the function by 3

f(x)= 3*(-|x+4|+5)

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.