Question

Find the vertex of the parabola and indicate if it is a minimum or maximum for the function
f(x) = 7(x - 7)2 - 6

A.vertex at (-7, 6) is a maximum
B. vertex at (-7, 6) is a minimum
C. vertex at (7, -6) is a minimum
D. vertex at (7, -6) is a maximum

Answer 1

okay, what's the vertex here?

Answer 2

remember, if you see a form
y = a(x - h)² + k
then the vertex is (h,k)

Answer 3

THIS IS A PRETEST I DONT KNOW HOW TO DO THIS

Answer 4

Calm down, I just told you how to do it :)

Look at your equation
and identify which values correspond to h and k.

y = a( x - h )² + k

Answer 5

-7 AND 6 CORRESPOND

Answer 6

But that would mean h = -7 and k = 6?

Answer 7

Which would make your equation
y = a ( x - (-7) )² + 6
y = a ( x + 7 )² +6

Which is not your equation, is it? :)

Answer 8

OK SO IS IT MAX. OR MIN.

Answer 9

First, what's your vertex? (and easy on the caps lock there, mate)

Answer 10

sorry

Answer 11

So your vertex, what is it?

Answer 12

i dont know what is my vertex

Answer 13

Well then, look at your equation again
y = 7(x - 7)² - 6

The vertex form of the parabola goes like
y = a(x - h)² + k

Where (h,k) is the vertex. Be extra careful with signs.

Answer 14

-7 and 6 are my vertex

Answer 15

I told you to be extra careful with signs...

Answer 16

what did i do wrong

Answer 17

oh

Answer 18

-7 and -6

Answer 19

Well you see that in the form
y = a ( x - h )² + k
you have -h and not +h
that should figure into your calculations

Answer 20

but is it max. or min.

Answer 21

We'll get to that once you know the vertex.

Answer 22

im kinda on a timed homework test can you give me the answer then explain plz

Answer 23

I prefer explaining first so that you can get the answer on your own. You'll feel better that way :)

Answer 24

ok

Answer 25

where did we stop

Answer 26

y = a( x - h )² + k
y = 7( x - 7 )² - 6

We were finding the values of h and k.

Answer 27

so you want me to solve the problem

Answer 28

yes, but hopefully, YOU want you to solve the problem too :)

Answer 29

how do you make 6 positve

Answer 30

Sorry?

Answer 31

at the end of the formula its +k i have a -6

Answer 32

Yeah, so you have
+k = -6

So what's k?

Answer 33

i dont know thats why im telling you

Answer 34

That's already it,
k = -6

now what's h?

Answer 35

-7

Answer 36

You see, there'a difference, you have a -h in the vertex form and not just a normal h or +h

Answer 37

ok

Answer 38

So, solve for h?

Answer 39

49

Answer 40

oh i just notice i made a mistake

Answer 41

the problem is f(x) = 7(x - 7)^2 - 6