Math Problem Statement
make a table and graph for y=-3xx
Solution
The graph above represents the function , and the table below shows some sample points from the function:
-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:
- How does changing the coefficient of affect the shape of the parabola?
- What is the vertex of the parabola for ?
- Can you determine the axis of symmetry for this parabola?
- How would the graph change if the equation was ?
- What happens to the value of as approaches infinity?
Tip: The coefficient of 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