Math Problem Statement
Gambarlah grafik fungsi f(x) = x²
Solution
It appears that the image shows a mathematical instruction involving the phrase "Gambarlah grafik fungsi f(x) = x²". This translates to "Draw the graph of the function ."
The graph of is a parabola, which opens upwards. Here are some key features of the graph:
- Vertex: The vertex of the parabola is at , which is the lowest point since the coefficient of is positive.
- Axis of symmetry: The graph is symmetric about the y-axis (i.e., the vertical line ).
- Shape: The parabola gets wider as moves away from zero.
- Intercepts:
- The y-intercept is .
- The x-intercepts are also at , because only when .
Would you like a more detailed breakdown of how to sketch this graph, or any further assistance?
Here are some follow-up questions to explore:
- How does the shape of the parabola change for other quadratic functions like ?
- What is the effect of adding or subtracting a constant from , such as ?
- How does the parabola shift if the function includes a linear term, like ?
- What is the domain and range of ?
- How do the concepts of vertex and symmetry help in sketching quadratic functions?
Tip: For any quadratic function , the vertex can be found using .
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Math Problem Analysis
Mathematical Concepts
Quadratic Functions
Graphing
Parabolas
Formulas
f(x) = x²
Theorems
Properties of Parabolas
Symmetry in Quadratic Functions
Suitable Grade Level
Grades 7-9