Answer:
Step-by-step explanation:
the expression we have is:
To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:
so we substitute this:
and now we have 1/12 in both terms :
so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):
the equivalent expression is:
Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.
