Using translation concepts, it is found that the function 
is the function 
reflected over the x-axis and vertically stretched by a factor of 3.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, from 
to , g(x) was multiplied by -3, that is, it was reflected over the x-axis(due to the multiplication by the negative number) and vertically stretched by a factor of 3.
More can be learned about translation concepts at brainly.com/question/27948675
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If the unit price was $1 or more, the price would be $12 or more
The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:
So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
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Answer:
=(x-2)/3(x+4)
Step-by-step explanation:
F(x)=x²-3x+2/3x²+9x-12
Using mid term break formula
=x²-2x-x+2/3(x²+3x-4)
=x(x-2)-1(x-2)/3(x²+4x-x-4)
=(x-2)(x-1)/3{x(x+4)-1(x+4)}
=(x-2)(x-1)/3(x-1)(x+4)
Cancelling (x-1)
We get
=(x-2)/3(x+4)
Hope it helps :)
