I really need some help please
1 answer:
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Answer:
The vertex of the function is the point
The graph increase over the interval--------> (-3,∞)
Step-by-step explanation:
we have
<u>1) Convert to vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
-----> function in vertex form
<u>2) Find the vertex</u>
The vertex of the function is the point
<u>3) Find the axis of symmetry</u>
we know that
In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex
The x-coordinate of the vertex in this problem is equal to
therefore
the equation of the axis of symmetry is
<u>4) Find the increase-decrease intervals</u>
The graph increase over the interval--------> (-3,∞)
The graph decrease over the interval--------> (-∞,-3)
see the attached figure to better understand the problem
<u>5) Find the x-intercepts of the function</u>
we know that
the x-intercepts are the values of x when the value of the function is equal to zero
In this problem the x-intercepts are
and
so
The function cross the x-axis twice
see the attached figure
Based on the construction, we can logically deduce that: A. yes; the compass was kept at the same width to create the arcs for points C and D.
<h3>What is a line segment?</h3>A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
In Geometry, a line segment can be measured by using the following measuring instruments:
- A scale (ruler)
- A divider
- A compass
In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
Based on the construction with arcs created above and below the line segment from points A, we can infer and logically deduce that it is true that the compass was kept at the same width to create the arcs for points C and D.
In conclusion, yes, the construction demonstrated how to bisect a line segment correctly by hand.
Read more on arcs here: brainly.com/question/11126174
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Complete Question:
The construction has a given segment AB. Arcs have been created above and below the segment from points A that are equidistant from point A. The compass was kept at the same distance, placed on point B, and two additional arcs were created above and below the segment that intersect with the first arcs created. The intersection of the arcs above the segment created point C. The intersection of the arcs below the segment created point D. A line was drawn from point C to D through the segment.
Does the construction demonstrate how to bisect a segment correctly by hand?
A. Yes; the compass was kept at the same width to create the arcs for points C and D.
B. Yes; a straightedge was used to create segment CD.
C. No; the compass was not kept at the same width to create the arcs for points C and D.
D. No; a straightedge was used to create segment CD.
