The parent function, f(x) = 5x, has been vertically compressed by a factor of one-half, shifted to the right three units and up
two units.
1 answer:
I'm guessing you want to know what the new function looks like.
Compression takes place when you have a function that constant is between 0 and 1
so f(x) = 1/2 5x We'd best not do any more to it for now because it will be altered by the next two transformations.
You want to shift this to the right two units.
That means f(x-2) will bu put into x on the right. You will get
f(x - 2) = 1/2*5(x - 2)
Finally, we want to go up 2 units. That's done by adding another term on what we have already.
f(x -2) = 1/2 * 5(x - 2) + 2
A line is not a very good example to be showing these transformations. I'll include a graph.
The red line is f(x) = 5x
The blue line is f(x - 2) = 1/2 * 5(x -2) + 2
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Answer:
The height of the equilateral triangle is
Step-by-step explanation:
we know that
An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees
To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD
Remember that the height of an equilateral triangle bisects the base.
see the attached figure to better understand the problem
substitute the given values
Solve for BD
simplify
`
therefore
The height of the equilateral triangle is
