Question

What is the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant?

Answer 1

Effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

What happens when we multiply a parent function with a positive constant?

• A parent function in mathematics is the simplest function in a family of functions that preserves the concept of the entire family.
• When we multiply a function by a positive constant, we get a function with a graph that is stretched or compressed vertically in comparison to the original function's graph.
• If the constant is larger than one, we get a vertical stretch; otherwise, we get a vertical compression.

Therefore, the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

Know more about a parent function here:

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