So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12:
y = 4x^2 + 8x + 3:
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
Answer:
20
Step-by-step explanation:
The midsegment of a trapezoid is calculated as
=
=
= 20
The quadrilateral formed by this process will always be a parallelogram
<h3>Quadrilaterals</h3>A quadrilateral is simply any polygon that has four sides and four corners.
Common examples are:
A square is drawn at the coordinates:
(0,0), (6,0), (0,6) and (6,6)
The midpoints of the square sides are at the following coordinates:
(0,3), (3,6), (6,3) and (3,0)
When the points of the midpoints are joined together, they form a parallelogram
<h3>Figure 2</h3>A trapezoid is drawn at the coordinates:
(0,0), (2,6), (8,6) and (10,0)
The midpoints of the square sides are at the following coordinates:
(5,0), (5,6), (1,3) and (9,3)
When the points of the midpoints are joined together, they form a parallelogram
Hence, the quadrilateral formed by this process will always be a parallelogram
Read more about quadrilaterals and parallelograms at:
