Question

what is the axis of symmetryof the parabola y=3x^2=12x+12

Answer 1

Answer:

This equation [Math Processing Error] is in standard form, or [Math Processing Error].

To find the axis of symmetry, we do [Math Processing Error].

We know that [Math Processing Error] and [Math Processing Error], so we plug them into the equation.

[Math Processing Error]

[Math Processing Error]

[Math Processing Error]

So the axis of symmetry is [Math Processing Error].

Now we want to find the vertex. The [Math Processing Error]-coordinate of the vertex is the same as the axis of symmetry. So the [Math Processing Error]-coordinate of the vertex is [Math Processing Error].

To find the [Math Processing Error]-coordinate of the vertex, we just plug in the [Math Processing Error] value into the original equation:

[Math Processing Error]

[Math Processing Error]

[Math Processing Error]

[Math Processing Error]

So the vertex is [Math Processing Error].

To visualize this, here is a graph of this equation:

enter image source here

Hope this helps