Hello!

Recall that the transformations form of a parabola is:
f(x) = ±a(b(x-h)) + k where:
a = vertical stretch/compression
b = horizontal stretch/compression
h = horizontal shift, x-coordinate of vertex
k = vertical shift, y-coordinate of vertex
In this instance, the parent function is f(x) = 3x^2. There is a vertical stretch of 3.
However, there is a point (7, -2) that needs to be included. Substitute these values into the transformation formula:
h = 7
k = -2
f(x) = 3(x - 7)² - 2 is the equation with (7, -2) as the vertex.
this equation ( /2x-1/=5)can be solved if we solve the following equations:
2x-1=5
2x-1=-5
1)We solve the first equation:
2x-1=5
2x=5+1
2x=6
x=6/2
x=2
2) we solve the second equation.
2x-1=-5
2x=-5+1
2x=4
x=-4/2
x=-2
The solutions of this equation /2x-1/=5 will be: x=3 and x=-2
Answer: x=3 and x=-2
Its 51, the numbers add 2 each time so 9 to 11 is 2 then you add 2 more for the next so 11 to 15 is 4 and so on
1080 clothespins makes 90 chairs and we need to find out how many clothespins it takes to make 1 chair.
We can set up a proportion of the number of chairs to the number of clothespins because of the proportional relationship.
x is the number of clothes pins for 1 chair

Cross multiply to get
90*x= 1080*1
Divide both sides by 90 to isolate x
x = 12 clothespins
It takes 12 clothespins to make 1 chair.