Diagram not attached, please add the question.
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
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<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
Answer:
<u>Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Investment of Sara during her 1st year of college = US$ 2,000
Duration of the investment = 4 years
Annual interest rate = 3%
2. Let's find the future value of this investment after 4 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Investment of Sara during her 1st year of college = US$ 2,000
number of periods (n) = 4
rate (r) = 3% = 0.03
Replacing with the real values, we have:
FV = 2,000 * (1 + 0.03) ⁴
FV = 2,000 * (1.03) ⁴
FV = 2,000 * 1.12550881
<u>FV = 2,251.02</u>
<u>Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.</u>
