Think about a graph symmetric with respect to the y-axis. how do the coordinates of the points on the right half of the graph compare with the corresponding coordinates on the left half? analyze a graph symmetric about the origin in a similar manner. what do you notice?

See discussion below.

Step-by-step explanation:

By definition, for a graph symmetric with respect to the y axis, we have that:

(x, y) is a point on the graph if and only if (-x, y) is a point on the graph.  Thus, if (-x, y) is a point on the left half of the graph (note that x > 0), then (x, y) is a  point on the right half of the graph, and if (x, y) is a point on the right half of the graph, then (-x, y) is a point on the left half of the graph.  

For a graph symmetric with respect to the origin, by definition, (x, y) is a point on the graph if and only if (-x, -y) is a point on the graph.  Thus, if (x, y) is a point on the graph in the 1st quadrant (x>0, y>0), then (-x, -y) is a point on the graph in the 3rd quadrant.  If (x, y) is a point on the graph in the 4th quadrant (x>0, y<0), then (-x, -y) is a point on the graph in the 2nd quadrant.  

what is the graph

step-by-step explanation:

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.