Question

Which equation represents the transformed function below? on a coordinate plane, a parent function starts at (0, negative 1) and then curves up into quadrant 1 and approaches y = 1. a transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6. _____ = parent function; y = log x - - - - - = transformed function y = log x 5 y = log x minus 5 y = log (x 5) y = log (x minus 5)

Answer 1

The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

• Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
• Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,

y=logx

A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.

y=logx +5

Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

Learn more about the transformed function here:

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