To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
This can be written as (x+4)(x+4)
Multiply everything in the second parenthesis by the x.
x^2 + 4x
Multiply everything in the second parenthesis by 4.
4x + 16
Add these two equations together.
x^2 + 4x + 4x + 16
Combine like terms.
x^2 + 8x + 16
Hope this helps!
Answer:
4 to the -2 power divided by 4 to the 4th power
<h3>(1/4096) is the right answer.</h3>
Answer for LCD of fractions 5/6 and 3/8: 24
Step-by-step explanation:
5/6 and 3/8 - Get the multiples of 6: 6, 12, 18, 24, Multiples of 8: 8, 16, 24, 32.
The LEAST common one you can find is 24.
Answer for LCD of fractions 1/2 and 3/5: 10, or C
This one is a bit easier - just find multiples of 5 that are even. The least one is 10.
Answer for LCD of fractions 1/12 and 3/4: 12, or B
Explanation: Multiples of 12 that are multiples of 4 but the least of them: 12.
