Question

What is the axis of symmetry for f(x) = −3x2 + 12x − 6?

x = 4

x = −4

x = 2

x = −2

Answer 1

What is x-coordinate of the vertex ?

Answer 2

-3 ? idk

Answer 3

-b/2a

Answer 4

=?

Answer 5

f(x) = ax^2 +bx+c, a =? b=? c=?

Answer 6

?what do i do?

Answer 7

Solve for x:
-(3 x^2)+12 x-6 = 0
Write the quadratic equation in standard form.
Divide both sides by -3:
x^2-4 x+2 = 0
Solve the quadratic equation by completing the square.
Subtract 2 from both sides:
x^2-4 x = -2
Take one half of the coefficient of x and square it, then add it to both sides.
Add 4 to both sides:
x^2-4 x+4 = 2
Factor the left hand side.
Write the left hand side as a square:
(x-2)^2 = 2
Eliminate the exponent on the left hand side.
Take the square root of both sides:
x-2 = sqrt(2) or x-2 = -sqrt(2)
Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2+sqrt(2) or x-2 = -sqrt(2)
Look at the second equation: Solve for x.
Add 2 to both sides:
Answer would be
| x = 2+sqrt(2) or x = 2-sqrt(2)

Answer 8

oh boy!! \[f(x) = \color{red}{a}x^2 +\color{blue}{b}x + c\\f(x) = \color{red}{-3}x^2 +\color{blue}{12}x + c\]
tell me a=??
b=??

Answer 9

@jenniferjuice I guide you step by step to solve the problem. You have to show me your trying. If you don't want to study, It's perfectly ok to me. :) take your time to answer me or you can keep silent.

Answer 10

sorry i was away from the computer excuse me

Answer 11

ok, still need know how to get?? if so, answer me, a =? b=?

Answer 12

a=-3 b=12

Answer 13

yup, what is \(\dfrac{-b}{2a}\) ? which is x-coordinate of the vertex.

Answer 14

-12/2*-3

Answer 15

=2

Answer 16

yup, the line passes through the x-coordinate of the vertex is the symmetric line of the graph.