Answer:
25 = units Jose travelled
Jh to Th = x moves 12 across
and y moves 0 is constant (up/down or constant)
Th to FF = x moves 0 stays constant and y moves 13 left
12 + 13 = 25
The purpose of this exercise is concerning parabolas = curve equations
x has two points x = -6 and x = 6
y has two points y = -5 and y = 8
however we cant plot this as ANSWER without using all the coordinates
y has one answer unit at 13 and not shown in an equation if it was the y intercept or curve mid point it would be a straight line and not a curve at 13 we can therefore set y to zero 0 as mid point curve when drawing the curve.
Then to find the each unit change we could prove with straight line upon the parabola by first using the straight line equation formula y-y1 = m(x+x1)
Straight line equation
Plug in Jose's coordinates given in the question.
Therefore y - - 6 = 6 (x + 8 ) = y+6 = 6x + 46 multiply out
= y+6 = 6x + 46 -6 cancel out with -6
= y = 6x+40
the answer therefore becomes y=6x+40
Plug in the same for Tyrell coordinates given in the question.
y - 6 = -6 (x + 8 ) = y-6 = -6x + 46 multiply out
= y-6 = -6x - 46 + 6 cancel out with +6
= y = -6x+52
and is a decrease of 6 i various ways.
Plug in for Football field coordinates given in the question.
y-6 = -6(x -5)
= y -6 = -6x +30
= y = -6x + 30+6
= y = -6x + 36
Shows constant 6 and -6 for m the slope and 46-36 = 10 decrease each side from 0 being the curve mid point on x line. down into the mid curve |
= 10+10 to represent each side = 20 then +5 = 25
As the shift in the curve makes negative positive and positive negative.
= 25 units