Answer:
- 8
Step-by-step explanation:
x = - 10
y = 2
I x I
= I - 10 I
= 10
y - I x I
= 2 - 10
= - 8
Using translation concepts, the transformations are given as follows:
a) The function is horizontally compressed by a factor of 3 and shifted down one unit.
b) The function is shifted right 3 units and vertically stretched by a factor of 2.
<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.
Item a:
The transformations are:
- x -> 3x, hence the function is horizontally compressed by a factor of 3.
- y -> y - 1, hence the function is shifted down one unit.
Item b:
The transformations are:
- x -> x - 3, hence the function is shifted right 3 units.
- y -> 2y, hence the function is vertically stretched by a factor of 2.
More can be learned about translation concepts at brainly.com/question/4521517
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<h3>
Answer: b = 17</h3>
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Explanation:
The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.
We'll plug these x and y values into the equation and solve for b.
y = -3x+b
2 = -3(5)+b
2 = -15+b
2+15 = b
17 = b
b = 17
The equation y = -3x+b turns into y = -3x+17
S= a/4 + 8u
S - 8u = a/4 (First you subtract 8u from both sides)
4(S - 8u) = a ( Then you multiply both sides by 4)
Final answer:
4(S - 8u) = a
The answer is 2.5 because the point is at the middle. Hope this’ll help