Math Problem Statement

the name given to the graph of y=xsquared is

Solution

The graph of the function y=x2y = x^2 is called a parabola. Specifically, this parabola opens upward, has its vertex at the origin (0,0)(0, 0), and its axis of symmetry is the y-axis.

Would you like to explore more about parabolas or quadratic functions?

Related Questions:

  1. What is the general form of a quadratic equation?
  2. How does the value of aa in y=ax2y = ax^2 affect the shape of the parabola?
  3. What are the properties of a parabola?
  4. How do you find the focus and directrix of a parabola?
  5. How does the graph of y=x2y = x^2 compare to y=x2y = -x^2?

Tip: The vertex of a parabola is the point where it changes direction, and it represents either the minimum or maximum value of the function, depending on whether the parabola opens upwards or downwards.

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Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Parabolas

Formulas

Quadratic equation formula: ax^2 + bx + c = 0

Theorems

Vertex form of a parabola

Suitable Grade Level

Grades 9-12