Answer:
13x +5
Step-by-step explanation:
(2x + 9) + (11x-4)
Combine like terms
2x+11x +9-4
13x +5
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:
Step-by-step explanation:
the recipe called for 3 cups of flour and 4 cups of sugar. That means there is 3/4 cups of flour for each cup of sugar.
She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.
hope this helps?
Please use "^" to indicate exponentiation:
<span>f(x)=x^2+10x+35
Complete the square: </span><span>f(x)=x^2+10x+25-25+35 = (x+5)^2 +10
or y-10=(x+5)^2, so the vertex is at (-5,10). h has the value -5.</span>
