What changes in the parent graph y= |x| would you see if you graphed y= |x+3| ?
2 answers:
<u>Answer:</u>
The parent graph will shift 3 units to the right.
<u>Step-by-step explanation:</u>
We are given that there is this parent graph with the equation and if we graph
, what are the changes that will be made to the parent graph to get this.
Since there is addition of 3 units in x, therefore the parent graph will shift 3 units to the right side.
You might be interested in
The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation
, or 
in slope-intercept form, a parallel line will be of the form 
.
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form
.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form