The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labeled N? A line graph is drawn on the first quadrant of a coordinate plane. The x-axis is labeled Time in seconds, and the y-axis is labeled Distance in miles. The line graph is divided into 7 segments labeled I, J, K, L, M, N, and O. I starts at the origin and is a straight line slanting up. J is a line segment that starts at the end of I and is horizontal. K is a curve that starts at the end of J and curves up. L is a straight line that starts at the end of K and is horizontal. M is a straight line that starts at the end of L and slopes down. N is a straight line that starts at the end of M and is horizontal. O is a curve that starts at the end of N and curves down to finally touch the x-axis. The car continues its journey, because the portion shows a linear function. The car is waiting at the starting point, because the portion shows a constant function. The car stops at a distance away from the starting point on its return journey, because the portion shows a constant function away from the starting point. The car is traveling the same distance per unit of time on its return journey, because the portion shows a linear, increasing function away from the starting point.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: