Question

# 6x²-12x-25=-7 vertex axis of symmetry

Answer 1

Answer:

Step-by-step explanation:

                                                                                                           -b

The axis of symmetry can be calculated using this formula:  x = ------

                                                                                                           2a

                                         -(-12)

which in this case is  x = ---------- = 1.  The axis of symmetry is the vertical

                                         2(6)             line x = +1

Thus, x = 1 is the x-coordinate of the vertex.  Normally we'd find the y-coordinate by evaluating the function at x = 1.  Unfortunately your

6x²-12x-25=-7 does not have the form of a quadratic function; such a function does not have the " = " sign in it.

Example:  Suppose we have  6x²-12x-25 = f(x) and we evaluate this function at x = 1:  f(1) = 6(1)^2 - 12(1) - 25 = -31, which (in this example)

leads to the vertex (1, -31).

Answer 2

Axis of symmetry: x=1
Vertex: (1, -24)

Explanation:

6x²-12x-25=-7

6x²-12x-18=0

a=6, b=-12, c=-18

Formula of axis of symmetry: x=-b/2a

x=-b/2a

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

x= 12/12

x= 1

Vertex: (1,?)

Sub x= 1 into the equation,
6(1)² - 12(1) - 18 = y

6 - 12 - 18 = y

y = -24