The vertex form of the quadratic function f(x) = x² + 2x + 3 is given as follows:
f(x) = (x + 1)² + 2
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the function is:
f(x) = x² + 2x + 3
Completing the squares, we find the equation in vertex form, as follows:
f(x) = (x + 1)² + 2
As (x + 1)² = x² + 2x + 1, hence 2 has to be added to find the equivalent function.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer:
The amplitude is 3.
Step-by-step explanation:
Answer:
The angles are: 50.3 and 129.7
Step-by-step explanation:
The sum of supplementary angles is 180°.
Let x be one angle then the other angle will be x+79.4
Using the supplementary angle sum

For the measurement of 2nd angle
x+79.4 => 50.3+79.4 => 129.7
Hence,
The angles are: 50.3 and 129.7
14= 4 pi/6 pi = 2/3
15 = 8 pi/10 pi = 4/5
16 = no