Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
<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 either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the translations are given as follows:
- 8 units right, hence x -> x + 8.
- 7 units down, hence y -> y - 7.
Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
More can be learned about translation concepts at brainly.com/question/28351549
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Answer:
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9514 1404 393
Answer:
- (f×g)(x) = 2x^2 +2x
- (f×g)(x) = 6y^2 -11y -35
Step-by-step explanation:
The distributive property applies.
1. (fg)(x) = f(x)·g(x) = (2x)·(x +1)
(f×g)(x) = 2x^2 +2x
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2. (fg)(x) = f(x)·g(x) = (2y -7)·(3y +5) = 2y(3y +5) -7(3y +5)
(f×g)(x) = 6y^2 -11y -35
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<em>Additional comment</em>
Please note in problem 2 that the function argument is x and the variable in the given expressions is y. This means the function value is exactly and only <em>6y^2 -11y -35 for any value of x</em>. It does not change when x changes. (We suspect a typo.)
Answer:
The answer to this question is -3.142
Y=mx+b
m=slope
b=y intercept or where the line crosses the y axis
slope=rise/run, from left to right
so
1.
ok, so we see it is going throught (-2,1) and (-1,4)
so it hits (-2,1) and then goes up 3 and right 1
so sloe=3/1 or 3
y intercept, it hits at y=7 so
y=3x+7 is equation
2.
we gots a hit at (0,2) and (5,6) about
so goes up 4 and to the right 3 so
4/3 is slope
hits y axis at about y=2
y=(4/3)x+2
