Translation of the graph:
y = ( x + 3 )² - 2 to y = ( x - 2 )² + 2
The equations are in the form: y = a ( x - h )² + k
- 2 → 2 ( up 4 )
- 3 → 2 ( 5 to the right )
Answer:
The translation is
A ) up 4 and 5 to the right
The answer is 2.2. that means it's c.
Hope this helped☺☺
Step-by-step explanation:
The formula is that the whole series is divide by 4
64 ÷ 4 = 16 ÷ 4 = 4 ÷ 4 = 1
Answer:
Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>
<u>Subtract 2y from both sides:</u>
<u>Divide both sides by -2:</u>
<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>
→ let x=2+y
<u>Simplify:</u>
<u>Now, let's solve for y in 6+6y=-18</u>
<u>Subtract 6 from both sides:</u>
<u>Divide both sides by 6:</u>
<u>Now, substitute y=-4 into x=2+y:</u>
→ let y = -4
Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
Answer:
1.6 times or 60% more than
Step-by-step explanation:
The question seems to be asking about the growth factor in the given exponential function.
<h3>Exponential function</h3>
A generic exponential function will have the form ...
quantity = (initial value) × (growth factor)^(number of intervals)
Comparing this form to the given formula ...
f(x) = 58 × 1.6^x
we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.
Each year the expected number of birds is <u><em>1.6 times</em></u> the number the year before.
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Additional comment
A <em>growth factor</em> is sometimes expressed in terms of a <em>growth rate</em>, usually a percentage.
growth factor = 1 + growth rate
1.6 = 1 + 0.60 = 1 + 60%
The growth rate of this bird population is 60% per year. Each year, the population is <u>60% more than</u> the year before.