PLZ HELP ASAP! WILL MARK BRAINIEST Use the function f(x) = −16x2 + 60x + 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)

Step-by-step explanation:

Hello,

Part A - we need to find the zeroes

So the zeroes are

Then, we can write f(x) as below

Part B - what are the x-intercepts of the graph of f(x) ?

There are the intersection points between the graph y = f(x) and y = 0

It means we need to find x so that f(x)=0

and this is what we have already done in the part A

so it means the following points

Part C - End behaviours

The terms in is negative So we know that the behaviour at both ends is

Part D - Graph f(x)

First of all we know that this is a parabola and we already know two points on the graph from part B

let's find the vertex which is for

and f(1.875)=72.25

So we can draw these three points and the terms in is negative we know the behaviour at both ends which is

Then we can draw the graph as below

Hope this helps.

Do not hesitate if you need further explanation.

Thank you