11. a biologist tracked the growth of a strain of bacteria, as shown in
the graph.
a. explain why the relationship represented by the graph is a
function.
there are no repeated
hamber
b. what if? suppose there was the same number of bacteria for two consecutive hours. would the graph still represent a function?

In a function, each "x" can only have one "y" number. A relation can still be a function if a y-value has more than one x-value.

11. a)

The relationship represented by the graph is a function because it passes the vertical line test (VLT). Any vertical line you pass through the graph, it only "hits" one spot on the graph. For a relation to be a function, each x-value can only have one y-value. This means no hour can have two different amounts of bacteria.

b)

If there were the same number of bacteria for two consecutive hours, the graph would still represent a function. In this case, two values for "y" will have more than one value for "x". Although, each x-value still only has one y-value, so it's still a function.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1