The parent function, f(x)=5^x has been vertically compressed by a factor of one-half shifted to the right three units and down two units. choose the correct function to represent the transformation

The required function is .

Step-by-step explanation:

The given parent function is

The transformation of a parent function is defined as

Where, k represents the vertical stretch or compression, a represents the horizontal shift and b represent the vertical shift.

→ If |k|>1, then it represents vertically stretch and If |k|<1, then it represent vertically compression.

→ If a>0, then f(x) shifts left by a units and If a<0, then f(x) shifts right by a units.

→If b>0, then f(x) shifts upward by b units and If b<0, then f(x) shifts downward by b units.

Since the graph of f(x) has been vertically compressed by a factor of one-half shifted to the right three units and down two units.

The graph of required function is

Therefore the required function is .

Function transformation involves changing the form of a function

The function that represents the transformation is: g(x) = 1/2(5^(x -3))

The parent function is given as:

f(x) = 5^x

When the function is vertically compressed by a factor of one-half, the function becomes

f'(x) = 1/2(5^x)

When the function is shifted 3 units right, it becomes

f"(x) = 1/2(5^(x -3))

Rewrite the function as:

g(x) = 1/2(5^(x -3))

Hence, the function that represents the transformation is: g(x) = 1/2(5^(x -3))

Read more about function transformation at:

link

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic