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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<span>A calorie is a unit which is used to measure the amount of energy in a piece of food. In order to maintain their weight, a person needs to consume a fixed number of calories. A person that weighs 160 pounds needs to consume approximately 2080 calories if they are inactive, 2400 calories if they are moderately active and 2720 calories if they are very active. </span>
9514 1404 393
Answer:
(6, 4)
Step-by-step explanation:
The midpoint is found as the average of the coordinates of the end points.
M = (A +B)/2
M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2
M = (6, 4)
The midpoint of segment AB is (x, y) = (6, 4).
Answer:
Step-by-step explanation:
<em><u>The formula for finding the area of a triangle is:</u></em>
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<em><u>The "b," is the base (7), and the "h," is the height (8):</u></em>
28
Answer:
Approximately 19.4%
Step-by-step explanation:
Co. Dogs: 13
Co. Others: 54
13+54=Total Co.
=67.
Co. Dogs: 13/67.
App. 19.4% (For 13 Co.)
App. 1.49% (For 1 Co.)
