Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph each function.
2 answers:
Multiplying the whole function by -1 reflects the function across the x axis
so f(x) to -f(x) would be a reflection across the x axis
multiplying the whole function by a fraction is a vertical transformation, if you multiply by a value x, such that 0<x<1, then it is a vertical shrink, if x>1, then it is a vertical stretch
so like f(x) to 2f(x) is a vertical stretch by a factor of 2
adding a value to the whole function moves it up by that number
ok
so
we have multiplied the whole thing by -1 and 1/2 and then added 2 to the whole function
that is a reflection across the x axis, a vertical shrink by a factor of 1/2, and translated up by 2 units in that order
so f(x) to -f(x) would be a reflection across the x axis
multiplying the whole function by a fraction is a vertical transformation, if you multiply by a value x, such that 0<x<1, then it is a vertical shrink, if x>1, then it is a vertical stretch
so like f(x) to 2f(x) is a vertical stretch by a factor of 2
adding a value to the whole function moves it up by that number
ok
so
we have multiplied the whole thing by -1 and 1/2 and then added 2 to the whole function
that is a reflection across the x axis, a vertical shrink by a factor of 1/2, and translated up by 2 units in that order
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Answer:
a.) Total distance Julie cover = 128 feet
b.) Total area , the playground cover = 256 ft²
Step-by-step explanation:
P. S : The exact question is -
As given,
Length of 1 side = 16 feet
As , we have
4 sides of same length
⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet
a.)
As given Julie does 2 lap of the playground
⇒ Total distance Julie cover = 64 + 64 = 128 feet
b.)
As the playground has equal side, so it must be of square shape
And, we know
Area of square = (Length of one side)²
= ( 16 )² = 256 ft²
∴ we get
Total area , the playground cover = 256 ft²
The answer is the √26 and -√26. Look at the picture for explanation.
