Math Problem Statement
answer this answers only
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:
- What is the general form of the equation for a parabola?
- How can we find the vertex of a parabola from its equation?
- How do you calculate the y-intercept algebraically?
- What is the significance of the axis of symmetry in a parabola?
- 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
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