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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Answer:
8
Step-by-step explanation:
First find all factors of 72 and 64 and put them in their respective circles
The factors of 72: 1,2,3,4,6,8,9,12,18,24,36,72
The factors of 64: 1,2,4,8,16,32,64
Now find the factors that both numbers share.
Common factors: 1,2,4,8
The greatest common factor of 72 and 64 is 8.
....................First 3
And i didnt copy u kishaabbas
The given condition on the basis of truth table is true.
According to the statement
we have given that the some condition p and q. and we have to find that the given condition is true or false on the basis of the truth table.
So, The given conditions are:
If 3 + 2 = 5, Then 5 + 5 = 10
Now,
The Truth table is a tabular representation of all the combinations of values for inputs and their corresponding outputs. It is a mathematical table that shows all possible outcomes that would occur from all possible scenarios that are considered.
So, the given conditions are properly verified with the truth table. So, it is true.
So, The given condition on the basis of truth table is true.
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<span>(4x-2)×6(2x+7) =
</span>
(4x-2) <span>× 12x + 42 =
48x^2 -24x + 168x -84 = 0
</span>
<span>48x^2 +144x -84 = 0
a = 48 b = 144 and c = -84
and the solution is
x1=.5 and x2=-3.5
</span>
