Graphing - GRE Quantitative Reasoning
Card 0 of 4
Suppose 
.
To obtain the graph of 
, shift the graph 
a distance of 
units .
Suppose
To obtain the graph of
There are four shifts of the graph y = f(x):
y = f(x) + c shifts the graph c units upwards.
y = f(x) – c shifts the graph c units downwards.
y = f(x + c) shifts the graph c units to the left.
y = f(x – c) shifts the graph c units to the right.
There are four shifts of the graph y = f(x):
y = f(x) + c shifts the graph c units upwards.
y = f(x) – c shifts the graph c units downwards.
y = f(x + c) shifts the graph c units to the left.
y = f(x – c) shifts the graph c units to the right.
Compare your answer with the correct one above
Which of the following terms are linear?
Which of the following terms are linear?
Linear terms have only one variable in a product and no exponents other than 0 or 1. x2 has an exponent other than 0 or 1 so it is not linear. yz has two variables so is also not a linear term. Linear terms cannot have functions of variables either, so sin(x) is not linear.
We can also think of these terms somewhat like graphing equations. Linear equations are straight lines. You might recognize, for example, that x2 should be a parabola. Sin(x) has a graph that looks like a harmonic wave. Clearly these two shaps aren't straight lines!
Linear terms have only one variable in a product and no exponents other than 0 or 1. x2 has an exponent other than 0 or 1 so it is not linear. yz has two variables so is also not a linear term. Linear terms cannot have functions of variables either, so sin(x) is not linear.
We can also think of these terms somewhat like graphing equations. Linear equations are straight lines. You might recognize, for example, that x2 should be a parabola. Sin(x) has a graph that looks like a harmonic wave. Clearly these two shaps aren't straight lines!
Compare your answer with the correct one above
The slope of a line segment with points 
and 
is:
The slope of a line segment with points
The formula for calculating slope is rise over run, or the difference in 
divided by the difference in 
. In this case, the difference in 
is 5 while the difference in 
is 5, resulting in a slope of 
or 1.
The formula for calculating slope is rise over run, or the difference in
Compare your answer with the correct one above
What is the slope of the linear line that passes through the origin and the point 
?
What is the slope of the linear line that passes through the origin and the point
Slope of a line given 2 points can be found using
.
Therefore 
or
Slope of a line given 2 points can be found using
Therefore
or
Compare your answer with the correct one above