Exercises 59–61 tell by what factor and direction the graphs of the given functions are to be stretched or compressed. Give an equation for the stretched or compressed graph. 59. y = x2 - 1, stretched vertically by a factor of 360. y = x2 - 1, compressed horizontally by a factor of 261. y = 1 + 1/x2 , compressed vertically by a factor of 2
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Exercises 59–61 tell by what factor and direction the graphs of the given functions are to be stretched or compressed. Give an equation for the stretched or compressed graph.
59. y = x2 - 1, stretched vertically by a factor of 3
60. y = x2 - 1, compressed horizontally by a factor of 2
61. y = 1 + 1/x2 , compressed vertically by a factor of 2
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