Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 52
Exercises \(51-60\) 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 . $$ y=x^{2}-1, \quad \text { compressed horizontally by a factor of } 2 $$
Problem 53
a. If \(b\) is any nonzero real number, prove that \(|1 / b|=1 /|b|\) b. Prove that \(\left|\frac{a}{b}\right|=\frac{|a|}{|b|}\) for any numbers \(a\) and \(b \neq 0\)
Problem 53
Exercises \(51-60\) 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 . $$ y=1+\frac{1}{x^{2}}, \quad \text { compressed vertically by a factor of } 2 $$
Problem 54
Graph the parabolas in Exercises 53鈥�60. Label the vertex, axis, and intercepts in each case. $$ y=x^{2}+4 x+3 $$
Problem 54
Exercises \(51-60\) 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 . $$ y=1+\frac{1}{x^{2}}, \quad \text { stretched horizontally by a factor of } 3 $$
Problem 55
Exercises \(51-60\) 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 . $$ y=\sqrt{x+1}, \quad \text { compressed horizontally by a factor of } 4 $$
Problem 55
Graph the parabolas in Exercises 53鈥�60. Label the vertex, axis, and intercepts in each case. $$ y=-x^{2}+4 x $$
Problem 55
A triangle has sides \(a=2\) and \(b=3\) and angle \(C=60^{\circ} .\) Find the length of side \(c .\)
Problem 56
Graph the parabolas in Exercises 53鈥�60. Label the vertex, axis, and intercepts in each case. $$ y=-x^{2}+4 x-5 $$
Problem 56
A triangle has sides \(a=2\) and \(b=3\) and angle \(C=40^{\circ} .\) Find the length of side \(c .\)
