Quadratics from Equation

The figure shows the graph of a quadratic function. If the coordinates of the vertex of the graph are (3, -1), which of the following may represent the function of the graph?

       3. The figure shows the graph of y= f(x). If the coordinates of the vertex of the graph are (2, 8), find f(x).

What are the intervals of increasing and decreasing for this function?

• Increasing: ( -2, +∞)

• Decreasing: ( -2 , +∞)

• Increasing: (-∞,-2)

• Decreasing: (-∞ ,2)

What is the decreasing interval on the function shown?

In which region of its domain is the function increasing?

What are the increasing and decreasing intervals for the function f(x) = (x+2)²-1?

• Increasing: (−∞, −2)

  Decreasing: (−2, ∞)

• Increasing: (−2, ∞)

  Decreasing: (−∞, -2)

• Increasing: (−1, ∞)

  Decreasing: (−∞, -1)

• Increasing: (−∞, −1)

  Decreasing: (−1, ∞)

What is the domain of the graph?

• To infinity and beyond

What is the range of the graph?

• To infinity and beyond

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• both 

• neither