Question

What are the coordinates of the vertex of the function below? Write your answer in the form (x,y).
y-11= -(x-5)^2

Answer 1

@LaceyLeanne Do you know how to do this? :) I know I would use the equation y=a(x-h)^2+k but im not too sure how to replace the letters with the given numbers :O

Answer 2

Okay so, What do you think you should do first?

Answer 3

here is an example that i found A) THE SIMPLETST way to solve for the x-coordinates of your function is to simply set each factor equals to 0 and solve, like this:
y=(x-5)(x+3)

x - 5 = 0
x = 5

x + 3 = 0
x = -3

Thus, the x-coordinates of the vertex of your function are:

(5, 0) (-3, 0)

B) Here are some very useful general characteristics of a quadratic function and its graph::
1. The graph of a quadratic function f(x) = ax+ bx + c is called a parabola.
2. If a > 0, the parabola opens upward; if a < 0, the parabola opens downward.
3. As | a| increases, the parabola becomes narrower; as | a| decreases, the parabola becomes wider.
4. The lowest point of a parabola (when a > 0) or the highest point (when a < 0) is called the vertex.
5. To determine the vertex of the graph of a quadratic function, f(x) = ax+ bx + c, we can either:
...a) use the method of completing the square to rewrite the function in the form
f(x) = a(x – h) + k. The vertex is (h, k). , or
...b) use the formula x = -b / 2a to find the x-coordinate of the vertex
Source(s):

Answer 4

welll i think i would foil the x-5^2 right?

Answer 5

Lacey is a math wiz

Answer 6

i just give people examples lol

Answer 7

hahah well thank you for the example :) but im still lost ._.

Answer 8

lol soz

Answer 9

Okay IceIce Thanks but hit the road, your confusing Ali!

Answer 10

ok

Answer 11

thank you for helping out ice :)

Answer 12

np but let the math wiz take it over @LaceyLeanne

Answer 13

So are you trying to find the vertex?

Answer 14

yah, it says to find the vertex and to put it in coordinates

Answer 15

how would i do this @LaceyLeanne ?

Answer 16

I am so sorry! The internet is messing up.

Answer 17

its okay! do you know how i would solve this type of problem? :o

Answer 18

Okay hold on Ali....My gawd I feel so bad for not helping you right away! Forgive me :)

Answer 19

of course, i completely understand! :)

Answer 20

Okay it is going to be negative because the slop is going down from the zero...Do you understand?

Answer 21

slope*

Answer 22

It appears to be -14

Answer 23

yes, because the slope is going down instead of up

Answer 24

That would make it a negative...Hold on let me graph it....

Answer 25

Yes (0,-14)

Answer 26

so those coordinates would be the answer?

Answer 27

oh i see! that makes sense!

Answer 28

Yeah, Thanks for being patient with this slow gurl :P lol

Answer 29

anytime! thank you for helping me! i really appreciate more than you understand! :)

Answer 30

No Problem, I am always a PM away.