<span>how do you identify the indicated elements for example
a32
A=
3 12 6
1 0 9
8 7 4
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a32 means the element in the 3rd row and 2nd column
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a32 = 7</span>
9514 1404 393
Answer:
- h = -2; k = 0; vertex = (-2, 0)
- h = 3; k = 0; vertex = (3, 0)
Step-by-step explanation:
Translation of a function to the right h units and up k units is accomplished by ...
g(x) = f(x -h) +k
Here, we have f(x) = |x|, so the translation will be ...
g(x) = |x -h| +k
or ...
y = |x -h| +k
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The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).
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You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.
1. y = |x +2|
h = -2, k = 0
vertex: (-2, 0)
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2. y = |x -3|
h = 3, k = 0
vertex: (3, 0)
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<em>Additional comment</em>
This is all about <em>matching patterns</em>. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).
240 seconds, 60 times 4 is 480. there is 60 seconds in a minute, times that by 4.
Answer:
146
Step-by-step explanation:
substitute x = 2, y = 3 into the expression
4(2)³ + 2(2)(3) - 2(3) + 3(2)²(3)²
= 4(8) + 12 - 6 + 3(4)(9)
= 32 + 12 - 6 + 108
= 38 + 108
= 146
Answer: Quadratic; 6x^2, x, -12
Detailed Explanation:
The highest power of the function (degree) is 2. Therefore it is a quadratic function. The quadratic term is 6x^2 since its power is 2, the linear term is x since its power is 1 and the constant term is -12.
