Math Problem Statement

 answer this answers only

Use the graph of the parabola to fill in the table.

Solution

Here are the answers based on the provided graph:

(a) The parabola opens upward.

(b) Intercepts:

  • x-intercept(s): None
  • y-intercept(s): (0, 1)

(c) Equation of the axis of symmetry: x = 0

(d) Coordinates of the vertex: (0, -1)

Let me know if you want any explanations or have questions!

Here are 5 related questions to further explore:

  1. What is the general form of the equation for a parabola?
  2. How can we find the vertex of a parabola from its equation?
  3. How do you calculate the y-intercept algebraically?
  4. What is the significance of the axis of symmetry in a parabola?
  5. How can we determine if a parabola opens upward or downward from its equation?

Tip: The axis of symmetry always passes through the vertex of the parabola.

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Math Problem Analysis

Mathematical Concepts

Parabola
Graphing Quadratics
Symmetry
Vertex

Formulas

Vertex form of a parabola: y = a(x-h)^2 + k
Axis of symmetry: x = h

Theorems

Axis of symmetry passes through the vertex of the parabola

Suitable Grade Level

Grades 8-10