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The family of curves represented by the equation y = kx^2, where k is a constant
The family of curves represented by the equation y = kx^2, where k is a constant, is known as:
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Practice Questions
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Q1
The family of curves represented by the equation y = kx^2, where k is a constant, is known as:
Linear curves
Parabolic curves
Circular curves
Exponential curves
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The equation y = kx^2 represents a parabola for different values of k.
Questions & Step-by-step Solutions
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Q
Q: The family of curves represented by the equation y = kx^2, where k is a constant, is known as:
Solution:
The equation y = kx^2 represents a parabola for different values of k.
Steps: 5
Show Steps
Step 1: Identify the equation given, which is y = kx^2.
Step 2: Understand that 'k' is a constant that can take different values.
Step 3: Recognize that for each value of 'k', the shape of the graph changes but remains a specific type of curve.
Step 4: Realize that the shape of the graph for the equation y = kx^2 is a parabola.
Step 5: Conclude that the family of curves represented by this equation is known as parabolas.
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