What is the common difference of the arithmetic sequence graphed below?
2 answers:
ANSWER
The common difference of the arithmetic sequence is
EXPLANATION
The common difference of the arithmetic sequence from the graph is the slope that can be found using any two points.
Let us use the points
The slope is given by the formula,
Since the slope is 2, the constant difference of the arithmetic sequence is also 2.
The correct answer is D
The common difference of the arithmetic sequence is
EXPLANATION
The common difference of the arithmetic sequence from the graph is the slope that can be found using any two points.
Let us use the points
The slope is given by the formula,
Since the slope is 2, the constant difference of the arithmetic sequence is also 2.
The correct answer is D
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The specific equation of the parabola can be found by plugging the given
values of the variables of the general equation.
<h3>Correct Response;</h3>The vertex of the parabola is at the origin with coordinates (0, 0)
The location of the focus = 3 cm from the vertex
<h3>Required:</h3>The equation that models the parabola.
<h3>Solution:</h3>The vertex form of the equation of a parabola is y = a·(x - h)² + k
The above equation can be expressed as (x - h)² = 4·p·(y - k)
Where in a vertical parabola;
(h + p, k) = The coordinates of the focus
(h, k) = The coordinates of the vertex = (0, 0)
p = 3 = The distance of the focus from the vertex
Therefore, the coordinates of the focus = (0 + 3, 0) = (3, 0)
The equation of the parabola is therefore;
(x - 0)² = 4×3 × (y - 0) = 12·y
x² = 12·y
Learn more about the equation of a parabola here: