standard_description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
problem_activity: Problem 1
Given
$${f(x)=x^2}$$
shown on the graph below, perform the necessary transformations and graph such that
$${ g(x)=-2(x-1)^2+2}$$
.
[IMG]
Problem 2
Analyze the function below in terms of:
Interval(s) where the function is increasing
Interval(s) where the function is decreasing
Zeros
Maximum value
Domain
Range
[IMG]


aligns: no