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What transformation is Kevin performing on the equations f(x) = x and g(x) = 7x?

a) Translation
b) Reflection
c) Dilation
d) Rotation

User Coolstoner
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1 Answer

3 votes

Final answer:

Kevin is performing a dilation on the equation f(x) = x to get g(x) = 7x, which multiplies all x values by 7 and scales the graph of the function by a factor of 7 along the x-axis.

Step-by-step explanation:

The transformation that Kevin is performing on the equation f(x) = x to the equation g(x) = 7x is known as a dilation. A dilation is a transformation that stretches or compresses a graph of a function. To understand this, we look at the effect of replacing 'x' with '7x' in the function. This multiplies all 'x' values by 7, effectively scaling the graph of the function by a factor of 7 along the x-axis. The graph of g(x) is just a steeper version of the graph of f(x), indicating that every x value is now 7 times larger for the same y value. There is no translation, reflection, or rotation happening in this transformation.

User Addzo
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