Question

Please help. Medal and fan :)
f(x) = -16x2 + 22x + 3

Part A: What are the x-intercepts of the graph of the 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

@Jordan100 @bohotness @cwrw238

Answer 2

@shortycme

Answer 3

for part A set f(x)=0 and solve the quadratic equation.
for part B complete the square

Answer 4

do u understand?

Answer 5

not really :(

Answer 6

@helder_edwin

Answer 7

sorry. a little bit busy.

Answer 8

for part A set f(x)=0 so
\[ 0= f(x)=-16x^2+22+3\]

Answer 9

can u solve this?

Answer 10

im not good at math....

Answer 11

:-)

Answer 12

ok the equation is
\[ 0=-16x^2+22x+3 \]
so we can use the quadratic formula.

Answer 13

so
\[ x=\frac{-22\pm\sqrt{22^2-4(-16)3}}{2(-16)} \]

Answer 14

thats part a right?

Answer 15

yes

Answer 16

ok

Answer 17

b and C? :)

Answer 18

for part B u have to complete the square.

Answer 19

do u know how to?

Answer 20

to finish part A:
\[ x=\frac{-22\pm26}{-32} \]

Answer 21

we have to values:
\[ x_1=\frac{-22+26}{-32}=\frac{4}{-32}=-\frac{1}{8} \]

Answer 22

and
\[ x_2=\frac{-22-26}{-32}=\frac{-48}{-32}=\frac{3}{2} \]

Answer 23

sorry, but I have to go.

Answer 24

sorry i wasn't on and thanks!