Let f(x)=8x and g(x)=8x+5+1 .

which transformations are needed to transform the graph of f(x) to the graph of g(x) ?

select each correct answer.

horizontal translation 5 units right
vertical translation 1 unit up
vertical translation 1 unit down
horizontal translation 5 units left
horizontal translation 1 unit left
vertical translation 5 units up

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte

The deepest part of the swimming pool is 12 feet deep.the shallowest part of the pool is 3 feet deep.what is the ratio of the deeply of the deepest part of the pool to depth of the shallowest part of a pool?