HELP FOR BRAINLIES

Use the function f(x) = −16x2 + 24x + 16 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

A)

B)

C) as x⇒-∞,y⇒-∞ and as x⇒-∞,y⇒-∞

D) The parent function suggests that this function will be a parabola. The leading coefficient and its degree suggest that both ends of the function will go down. The two zeros of the function tell us our x-intercepts. Putting the function into standard form will give us its vertex. By making a T-chart, we can plug in more numbers to gain more points to sketch the shape of the graph most accurately.

Step-by-step explanation:

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

i dont know sorry

step-by-step explanation: