Math Problem Statement

gambarkan grafik fungsi kuadrat dari y=x*2+x-2

Solution

The graph of the quadratic function y=x2+x2y = x^2 + x - 2 has been plotted. The parabola opens upwards, and its vertex is located at (0.5,2.25)(-0.5, -2.25). The function crosses the x-axis at two points (the roots), which are the solutions to the equation x2+x2=0x^2 + x - 2 = 0.

Do you want more details or have any questions?

Here are five related questions to explore:

  1. How do you find the roots of the quadratic function y=x2+x2y = x^2 + x - 2?
  2. What is the axis of symmetry for the quadratic function?
  3. How do you determine if the parabola opens upwards or downwards?
  4. Can you express the quadratic function in vertex form?
  5. What happens to the graph if you change the coefficients in the quadratic function?

Tip: The vertex of a quadratic function y=ax2+bx+cy = ax^2 + bx + c can be found using the formula x=b2ax = -\frac{b}{2a}.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Parabolas
Graphing Equations

Formulas

y = ax^2 + bx + c
Quadratic Formula: x = (-b ± √(b^2 - 4ac)) / 2a
Vertex Formula: x = -b / 2a

Theorems

Quadratic Formula
Properties of Parabolas

Suitable Grade Level

Grades 8-10