Which of the following are the equations for the parent function and the transformed parent function represented by the graph?
1 answer:
Answer:
Parent function:
Transformed function:
Step-by-step explanation:
The given function is a rational function.
The parent rational function is .
This is a hyperbola that is found in the first and third quadrant that is asymptotic to the axes.
The transformed function is a a hyperbola that is asymptotic to the axes and it is located in the second and fourth quadrant.
The point (1,1) on the parent function corresponds to (-1,1) on the transformed function.
The point (-1,-1) on the parent function corresponds to (1,-1) on the transformed function.
We can observe that the x-coordinates were negated in each case.
This the rule for a reflection in the y-axis.
Therefore the transformed function has equation
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Answer:
Step-by-step explanation:
To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.
<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.
If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:
a is the height, b is the base, and c is
the hypotenuse.
To obtain the value of the hypotenuse
To find the value of the lenght of the diagonal d across the square, we have:
Where a = b = 20
Substituting the values
Round the answer to 2 decimal places
