Ten to the third power / 3/10th
The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
Read more about function transformation at:
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Answer:
16 mph
Step-by-step explanation:
You should first form equations related to this information
Given,Tamara can go 4 mph faster than her sister, Samantha
Lets take speed to ride a bike for Samantha to be= x mph
The speed to ride a bike for Tamara will be= x+4 mph
To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara
Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour
Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence
<u>Time taken by Samantha</u>
<u>Time taken by Tamara</u>
<u>Equation for difference in time</u>
Solve the equation for difference in time to get value of x which is samantha speed
Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320
x=(-b±√b²-4ac)÷2a
x=(-4±√4²-4×1×-320)÷2×1
Samantha speed is 16 mph
Answer:
Step-by-step explanation:
The answer is
72% of his earnings is $18x 72 / 100 = $12.96
Tyrone works 40 hours per week
in one month
he works 40*4=160 hours
so 1 hour is for $12.96 net
160 hours for x=?
x=$2073.6
his total monthly cash inflow is $2073.6 - $1,800=$273.6
