standard_description: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
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: yes