Question

An expression is shown below:

f(x) = -16x2 + 24x + 16

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

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.

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

Answer 1

b- maximum

Answer 2

why ?

Answer 3

x intercept =-b/2a =-24/(2*-16)=24/32=12/16=6/8=3/4=0.75

Answer 4

b- maximum because " a " =-16 which is < (less) than zero !

Answer 5

whoaaa lol u sure

Answer 6

x=0.75 ;find y by inputting x in f(x)

Answer 7

it never mentioned an "a" tho

Answer 8

-16(0.75)^2+24*(0.75)+16

Answer 9

f(x)=-16x^2+24x+16
f(x)=ax^2+bx+c

Answer 10

where did the a come from

Answer 11

a=-16
b=24
c=16

Answer 12

f(x)=ax^2+bx+c - quadratic equation

Answer 13

on comparing we get "a" ! is it clear ?

Answer 14

if u say so

Answer 15

and part c ?

Answer 16

coordinates of vertex are (x,y)

Answer 17

f(x)=25

Answer 18

vertex is (0.75,25)

Answer 19

u know how to plot the graph right ?

Answer 20

no

Answer 21

find f(x ) by assuming x=0.5,x=1 corresponging values of f(x) can be found similarly

Answer 22

and on x and y axis of coordinate system plot those (x,y) points and draw a smooth curve which is your graph !