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:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right