Using translation concepts, it is found that the new function was reflected over the x-axis and vertically compressed by a factor of 3.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The functions are given as follows:
- Parent:
.
- Translated:
.
The translated function was multiplied by -1/3, hence it was reflected over the x-axis(multiplication by negative number) and vertically compressed by a factor of 3(fraction of 1/3).
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
Step-by-step explanation:
Length=18
Width/Breadth =10
Height=2
The formula for a diagonal face of a cuboid is=√(l²+ b²)
Face diagonal=√(18²+10²)
= 20.59 to 2.d.p
The formula for the body diagonal of a cuboid is=√(l² + b² + h²)
Body diagonal=√(18² + 10² + 2²)
=20.69 to 2.d.p
Answer:
This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.
Step-by-step explanation:
When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;
2,4,6, 10, 14, 18, 20, 22, 24
The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.
Answer: the following system of equations has 2 solutions
x1=4
X2=-2
Step-by-step explanation:
5*x+4=x²+3*x-4
x²-2*x-8=0
x12=(2+/-√4+4*1*8)/2
x12=(2+/-√36)/2
x1=(2+6)/2=4
x2=(2-6)/2=-2
