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Margaret [11]
2 years ago
14

f(x)=2x. If g(x) is a vertical stretch, compression, and or reflection of f(x) followed by a, what is the equation of g(x)?

Mathematics
1 answer:
Montano1993 [528]2 years ago
7 0

The function g(x) is g(x)= (3x)^2

<h3>How to solve for g(x)?</h3>

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 3 to form g(x).

This means that:

g(x) = f(3x)

So, we have:

g(x)= (3x)^2

Hence, the function g(x) is g(x)= (3x)^2

Read more about function transformation at:

brainly.com/question/10222182

#SPJ1

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
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