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).
Answer:
C is equal to -4
- 36
Step-by-step explanation:
<h3>
</h3><h3>
C: ( -4x -12) ( x + 3)</h3><h3>
= multiply -4x × x = -4</h3><h3>
= multiply -4x × 3 = -12x</h3><h3>
= multiply -12 × x = -12x</h3><h3>
= multiply -12 × 3 = -36</h3><h3>
= -4 -24x -36, simplified to (-4
- 36) </h3>
Answer:
BC/BE = FG/FI
Step-by-step explanation:
Corresponding segments are proportional:
BC/BE = FG/FI
I got 157/990. Just don't ask me how. I just used my fancy TI-84 Calculator.
