Chapter 2.2, Problem 6PE

How does the graph of f(x) = (x − 9)4 – 3 compare to the parent function g(x) = x²?

Find the x-intercepts and the y-intercept of the graph of f(x) = (x − 5)(x − 2)(x − 1) without using technology. Show all work.

In a volatile housing market, the overall value of a home can be modeled by V(x) = 415x² - 4600x + 200000, where V represents the value of the home and x represents each year after 2020. Part A: Find the vertex of V(x). Show all work. Part B: Interpret what the vertex means in terms of the value of the home.

Show all work to solve 3x² + 5x - 2 = 0.

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it. f(x) h(x) 21 5 4+ 3 f(x) = −2(x − 4)² +2 + -5 -4-3-2-1 1 2 3 4 5 -1 -2 -3 5

The functions f(x) = (x + 1)² - 2 and g(x) = (x-2)² + 1 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

Fill in the blanks to describe squares. The square of a number is that number  Question Blank 1 of 4     .  The square of negative 12 is written as  Question Blank 2 of 4     , but the opposite of the square of 12 is written as  Question Blank 3 of 4     . 2 • 2 = 4.  Another number that can be multiplied by itself to equal 4 is  Question Blank 4 of 4     .

How many quadrillion BTU were generated using renewable energy sources?

Use the graphs to find estimates for the solutions of the simultaneous equations.