Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the image shows a graph of a parabola on a coordinate grid. labels incl…

Question

the image shows a graph of a parabola on a coordinate grid. labels include zero(s), vertex, y-intercept, and axis of symmetry.

Explanation:

Step1: Identify the zero(s)

The zero is the x-intercept, where the parabola crosses the x-axis: $(-2, 0)$

Step2: Identify the vertex

The vertex is the parabola's turning point: $(-3, -1)$

Step3: Identify y-intercepts

The y-intercepts are where the parabola crosses the y-axis: $(0, 2)$ and $(0, -2)$

Step4: Identify axis of symmetry

The axis of symmetry is the vertical line through the vertex: $x = -3$

Answer:

  • Zero(s): $(-2, 0)$
  • Vertex: $(-3, -1)$
  • Y-intercepts: $(0, 2)$ and $(0, -2)$
  • Axis of symmetry: $x = -3$