Math Problem Statement

make a table and graph for y=-3xx

Solution

The graph above represents the function y=3x2y = -3x^2, and the table below shows some sample points from the function:

xxy=3x2y = -3x^2
-10.0-300.0
-9.80-288.00
-9.60-276.25
-9.39-264.74
-9.19-253.47
-8.99-242.45
-8.79-231.68
-8.59-221.15
-8.38-210.87
-8.18-200.83

Do you need further details or have any questions?

Here are five related questions for further practice:

  1. How does changing the coefficient of x2x^2 affect the shape of the parabola?
  2. What is the vertex of the parabola for y=3x2y = -3x^2?
  3. Can you determine the axis of symmetry for this parabola?
  4. How would the graph change if the equation was y=3x2y = 3x^2?
  5. What happens to the value of yy as xx approaches infinity?

Tip: The coefficient of x2x^2 determines whether the parabola opens upwards (positive) or downwards (negative).

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Graphing

Formulas

y = -3x^2

Theorems

Properties of Parabolas
Axis of Symmetry
Vertex Theorem

Suitable Grade Level

Grades 9-11