Question

Which graph shows the quadratic function y = 3x^2 - 12x + 10?

Answer 1

what is the vertex of the quadratic?

Answer 2

hang on let me put the graphs

Answer 3

we probably dont need them

Answer 4

do you know what the vertex is and how to find it?

Answer 5

yes, I know that in order to find the vertex you have to do -b/2a

Answer 6

well that will tell you the x value, so do that first

Answer 7

ok:

-(-12)/2(32) = 12/ 64 = 3/16

Answer 8

where did you get 32?

Answer 9

isnt that the a value?

Answer 10

oh sorry I thought it was 32 I just realized it was 3

Answer 11

\(ax^2+bx+c\)

3x^2 - 12x + 10

Answer 12

correct, 3

Answer 13

so it would be:

-(-12)/2(3) = 12/6 = 2

Answer 14

ok, now plug 2 back into the function and what do you get?

Answer 15

y = 3(2)^2 - 12(2) + 10
y = 12 - 24 + 10
y = -12 + 10
I would get y = -2

Answer 16

ok so the vertex is \((2,-2)\) so which graph is it?

Answer 17

would it be graph d?

Answer 18

correct

Answer 19

Thank you so much!!! Do you think you can help me with another problem?

Answer 20

sure close this and ask a new one

Answer 21

ok thanks!