Help with Another Pre Calculus Question
1 answer:
The last equation h(x) = 2x+4/x+1.
<h3>What is a graph?</h3>The pictorial representation of quantities and how the increase or decrease in one affects the other.
Analysis:
The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.
gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.
The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1
differentiating the equation by quotient rule,
u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1
dy/dx = =
When x = -2, dy/dx = -2
In conclusion, 2x+4/x+1 is the equation for the curve above.
Learn more about parabolic curves: brainly.com/question/12896871
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Answer:
The graph of the function has a minimum located at (4,-3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex of the parabola
If a > 0 the parabola open upward and the vertex is a minimum
If a < 0 the parabola open downward and the vertex is a maximum
In this problem
The coefficient a must be positive, because we need to find a minimum
therefore
Check the option C and the option D
Option C
we have
Convert to vertex form
Factor the leading coefficient
The vertex is the point (4,-3) ( is a minimum)
therefore
The graph of the function has a minimum located at (4,-3)