1. Consider the quadratic function f(x) = 2(x + 1)2 - 6. A. List the characteristics of the graph that will be DIFFERENT from the parent graph, F(x) = x2. 2

B. Find the x-intercepts of the function. Show all work. 3 points Work and

C. Graph the function in as much detail as possible.

D. Julius accidentally graphed his function on this question upside down, but with the correct vertex and shape. What is the equation of Julius' graph?

2. Johanna describes her favorite parabola to her best friend Sai. Sketch the graph of Johanna's parabola on the grid. Then write the equation of her parabola in all 3 forms.

Johanna's Description:
•It has an x-intercept at (1,0)
•Its vertex is (3,-8)
• My graph has a vertical stretch with a factor of 2

Standard Form

Vertex Form

Factored Form

3.A turkey was thrown off the roof of a 200-foot building with an initial velocity of 3 feet per second while a bystander attempts to shoot the turkey with her bow and arrow from a height of 6 feet off the ground.
•The equation of the path of the turkey is y=-16t^2-3t+200
•The arrow follows a linear path described by the equation y=55t+6

After how many seconds will the arrow hit the turkey? PLEASE SHOW ALL WORK

Use graph picture for questions 1.C and Question 2.