We have been given a parent function
and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from
.
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as
.
Answer: The coordinates of the midpoint (1.5, -0.5)
Step-by-step explanation:
For the x-coordinate, find the difference between -1 and 4. That's 5. Take half of 5 and add to -1. So -1+2.5= 1.5
For the y-coordinate, the difference between -6 and 5 is 11. Half of 11 is 5.5. Add -6 + 5.5= 0.5
Answer:
0.79
Step-by-step explanation:
i calvulated and got 0.79
This is the concept of density, volume and mass of different materials; To calculate for the volume of an aluminium material with density of 2.375 grams per cubic centimeter and a mass of 0.78 Kilogram we proceed as follows;
Density=mass/volumemaking volume the subject we get;volume=mass/densitythus;mass=0.78 kg= 780 gdensity=2.375 g/cm^3Hence,volume=780/2.375=328.421 cm^3
You'd make a total of $25,125.46 and the interest is $11,125.46