Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

look at this graph: what is the equation of the axis of symmetry?

Question

look at this graph: what is the equation of the axis of symmetry?

Explanation:

Step1: Identify the parabola type

The given parabola opens to the right, and its general form is $(y - k)^2=4p(x - h)$. For a parabola, the axis of symmetry is a line that divides the parabola into two mirror - image halves.

Step2: Locate the axis of symmetry

For a parabola of the form $(y - k)^2 = 4p(x - h)$, the equation of the axis of symmetry is $y=k$. In the given graph, the vertex of the parabola is at the origin $(0,0)$, so $h = 0$ and $k = 0$.

Answer:

$y = 0$