Question

y = -x2 + 8x - 12

a.) Identify the location of the vertex

b.) Identify the location of the x-intercept(s),
if any

c.) Identify the location of the y-intercept

d.) Write the equation for the axis of symmetry

(I'm having trouble converting this from standard to the other forms.)

Answer 1

Do you know how to find the vertex? Do you know what an x and y intercept is?

Answer 2

I thought I had the formula for vertex, but I guess I had the formula for point slope and was getting them mixed up... >.< I don't know the formula for vertex

Answer 3

Vertex=\[(\frac{ -b }{ 2a},f(\frac{ -b }{ 2a}))\]
in the form of (x,y)

Answer 4

I just plug in a and b and find it and that's my vertex?

Answer 5

yes and then whatever you get from -b/2a you plug that back in to find the y value.

Answer 6

Or you can graph it and then see where everything is...

Answer 7

https://www.desmos.com/calculator/vvrjzcunih

Answer 8

You will notice that the vertex is (4,4)

Answer 9

Would it be 4 or -4?

Answer 10

Oh :D haha...

Answer 11

Look at the graph.. You can see the vertex and even the intercepts...

Answer 12

Yes. c:
How would I calculate the intercepts?

Answer 13

y intercept is when x=0 and you solve for y
x intercepts is when y=0 and you solve for x

Answer 14

but if you look at the graph you see the x-intercepts is (2,0) and (6,0) and the y-intercepts is (0,-12)

Answer 15

So, I would set x=0 ... To find the y intercept? Or the x?

Answer 16

Axis of symmetry is \[x=\frac{-b}{ 2a }\]

Answer 17

Yes you would make x=0 to find the y-intercept and solve for y and your point would be (0,y)

Answer 18

https://www.desmos.com/calculator/mrlwubqoo8

Answer 19

This graph includes the axis of symmetry.

Answer 20

So do you have any more questions?

Answer 21

@Ria23

Answer 22

Uhm... I think, I have it... If I get stuck anywhere I'll tag yhu c:
Thank yhu for helping me! I appreciate it!

Answer 23

no problem...\[\huge\color{red}{\ddot\smile}\]

Answer 24

@ria23 If your question is solved.. you can close this question...

Answer 25

@TheSmartOne I'm having trouble identifying how I find the x-intercepts.
If I set y=0, that'll give me 0=x^2+8x-12
How would I solve for the x's... I have my graph drawn, but I need to show my steps on how I got it