19. Given the graph of \( y=x^{2} \), how do you obtain the graph \( y=4(x+2)^{2}+8 \) ? Choose the correct answer below. A. Shift the graph to the right 2 units, then stretch the graph horizontally by a factor of 4 . Then shift the graph up 8 units. B. Shift the graph to the left 4 units, then compress the graph horizontally by a factor of 2 . Then shift the graph up 8 units. C. Shift the graph to the right 2 units, then compress the graph vertically by a factor of 4 . Then shift the graph down 8 units. D. Shift the graph to the left 2 units, then stretch the graph vertically by a factor of 4 . Then shift the graph up 8 units.

3) If \( f(x)=\frac{1}{x} \) for \( x>0 \), then \( f(1.5)= \) \( \begin{array}{llll}\text { (A) } \frac{3}{4} & \text { (B) } \frac{2}{3} & \text { (C) } \frac{1}{2} & \text { (D) } \frac{1}{3} \\ \text { (E) } \frac{1}{4}\end{array} \)

3. Resolver las siguientes operaciones con raíces. \( \frac{\sqrt{3^{3}} \cdot \sqrt[4]{5^{5}}}{\sqrt{3} \cdot \sqrt[5]{2^{3}} \cdot \sqrt[5]{2^{2}} \cdot \sqrt[4]{5}} \)

Value: 2 The graph of the quadratic function given by the equation \( f(x)=-\frac{1}{2}(x-1)^{2} \) will fip upside down because there is a negative sign in front. True False

Which of the following statements correctly delermines the rule for generating the next term in the sequence \( 23,19.5,16,12.5, \ldots \) ? (1 point) Add the common ratio of -3.5 . Multipy by the common ratio of -3.5 . Multiply by the common difference of -3.5 . Add the common difference of -3.5 .

Value: 2 What is the horizontal and vertical shiff for the quadratic function given by \( f(x)=(x+2)^{2}-4 \) ? a. Left 2 spaces and down 4 spases b. Left 4 spaces and up 2 spaces c. Right 2 spaces and down 4 spaces d. Right 4 spaces and down 2 spaces