Using translation concepts, the correct statements are given as follows:
- Ava's graph is vertical translation of x².
- Ava's graph has a y-intercept of 4.
- Victor's graph moves 4 units from f(x) = x² in a positive direction.
<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.
Ava's graph is given by:
h(x) = x² + 4.
It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.
Victor's graph is given by:
g(x) = (x + 4)²
Which means that it moves 4 units from f(x) = x² in a positive direction.
More can be learned about translation concepts at brainly.com/question/4521517
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We write the translation one by one:
D (3, 5)
D' (-6, 2)
That translates to: (x - 9, y - 3), because that is for passing from D to D': (3 - 9, 5 - 3) = (-6, 2).
Therefore if it is true for D and D' then, it has to be true for all others (you can check) for that rule to be true, so the correct answer is:
(x, y)→(x − 9, y − 3)
2/3 x -4 = -2 add 4 to both sides
2/3 x -4 +4 = -2 +4
2/3 x = 2
mutliply both sides by 3/2
(3/2) * (2/3) x = (3/2) * 2
x =3
Answer:
I know that
Step-by-step explanation:
the point is (0,2) and the slope is 1/2
