SOLUTION: Graph the equations. (1) y = x + 1 (2) y = 2x squared

Question 122814: Graph the equations.
(1) y = x + 1
(2) y = 2x squared
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is

.Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is 1 and the run is 1. This means that to go from point to point, we can go up 1 and over 1

So starting at

, go up 1 unit

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points

and

# 2

In order to graph , we need to plot some points.

We can start at any x value, so lets start at x=-2

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 4

Multiply 2 and 4 to get 8

So when , which means our 1st point is (-2,8)

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 21

Multiply 2 and 1 to get 2

So when , which means our 2nd point is (-1,2)

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 20

Multiply 2 and 0 to get 0

So when , which means our 3rd point is (0,0)

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 21

Multiply 2 and 1 to get 2

So when , which means our 4th point is (1,2)

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 24

Multiply 2 and 4 to get 8

Multiply 0 and to get 0

Now combine like terms

So when , which means our 5th point is (2,8)

Now lets make a table of the values we have calculated

Now plot the points

Now connect the points to graph (note: the more points you plot, the easier it is to draw the graph)

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