Which function could be represented by the graph on the coordinate plane?
2 answers:
Answer:
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
where (h,k) is the vertex of the parabola
The axis of symmetry is equal to
In this problem the parabola open upward
so
the coefficient a is positive
The coordinates of the vertex will be (the y-coordinate is negative)
so
the equation will be of the form
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Answer:
The slope of the line is and the equation of the line is
.
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of there is one and only change in
, fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
(1)
Where:
- Initial and final x-coordinates of the line.
- Initial and final y-coordinates of the line.
If we know that and
, then the slope of the line is:
From graph we conclude that x-intercept of the line is . Hence, the equation of the line is
and we proceed to plot the expression with the help of a graphing tool.
Answer: 24 square units
Step-by-step explanation:
It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.
The formula for the area of a rectangle is
Where
l is the length (8 for this)
w is the width (6 for this)
A is the area
However, since we are finding half the area we will divide lw by 2
Sub the values into the formula