Vertex, standard, and quadratic regression

Rewrite the equation in vertex form.

Formulate a quadratic function to model this relationship using quadratic regression.

Formulate a quadratic function to model this relationship using quadratic regression.

• (-3, 5)

• (3, 5)

• (-3, -5)

• (3, -5)

• (0, -1)

• (0, 1)

• (1, 0)

• (-1, 0)

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Convert the equation

f(x) = x² - 12x + 40

into vertex form

• f(x) = (x + 6)² - 4

• f(x) = (x + 6)² + 4

• f(x) = (x - 6)² - 4

• f(x) = (x - 6)² + 4

Using quadratic regression to write a quadratic function to represent the function of the graph.

Using quadratic regression to write a quadratic function to represent the function of the model representing the vertical distance, y, in meters traveled by the kangaroo, where x is the horizontal distance traveled.