Select [b]all[/b] the examples that show that this statement is false.
[size=150]Where is the vertex of the graph that represents [math]y=\left(x-3\right)^2+5[/math]?[/size]
Does the graph open up or down? Explain how you know.
[math]3\pm\sqrt{2}[/math]
[math]\sqrt{9}\pm1[/math]
[math]\frac{1}{2}\pm\frac{3}{2}[/math]
[math]\frac{1\pm\sqrt{8}}{2}[/math]
[math]-7\pm\sqrt{\frac{4}{9}}[/math]
An irrational number multiplied by an irrational number always makes an irrational product.
A rational number multiplied by an irrational number never gives a rational product.
Adding an irrational number to an irrational number always gives an irrational sum.
[size=150]Which equation is equivalent to [math]x^2-\frac{3}{2}x=\frac{7}{4}[/math] but has a perfect square on one side?[/size]
[size=150]A student who used the quadratic formula to solve [math]3x^2-8x=2[/math] said that the solutions are [math]x=2+\sqrt{5}[/math] and [math]x=2-\sqrt{5}[/math]. [/size][br][br]What equations can we graph to check those solutions?
What features of the graph do we analyze?
How do we look for [math]2+\sqrt{5}[/math] and [math]2-\sqrt{5}[/math] on a graph?[br]