Imagine swimming in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = log8t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.

Draw a graph of the pH function Locate, plot, and label on the graph where the pH value is 0. Locate, plot, and label on the graph where the pH value is 1.

The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise the amount of hydronium ions, t, in the pool by 0.45. To do this, he can use the graph that was created. Use the graph to find the pH level if the amount of hydronium ions is raised to 0.45.

Then, convert the logarithmic function into an exponential function using y for the pH.

The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = log8t as the parent function, explain each transformation and how it affects the graph around the y axis. Draw a Graph Use complete sentences to explain each translation Show all translations on the graph. p(t) - 3 p(t - 3) 3 p(t)