Identify the transformations needed to graph the cosine function y = –0.5cos(x) – 3 from the parent cosine function. check all that apply.
vertical compression by a factor of 0.5
reflection across the y-axis
vertical translation 3 units down
vertical stretch by a factor of 0.5
reflection across the x-axis
vertical translation 3 units up
vertical translation 0.5 units down

Me! last question, and i'm stuck! write the algebraic expression that models the word phrase. the product of 2 divided by the number h and 8 more than the number k

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Which equation can be used to measure the density of water in a spherical water tank? let w represent the number of water particles within the region.