How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x
EndRoot? It is translated horizontally by 2 units and reflected over the x-axis. It is translated horizontally by 2 units and reflected over the y-axis. It is horizontally compressed by a factor of 2 and reflected over the x-axis. It is horizontally compressed by a factor of 2 and reflected over the y-axis.
2 answers:
The graph of the parent function is horizontally compressed by a factor of 2 and reflected over the y-axis ⇒ Last answer
Step-by-step explanation:
Let us revise some transformation
A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
A horizontal stretching is the stretching of the graph away from the y-axis
- If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
- If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis
∵ y = √x is a parent function
∵ Its graph transformed to produce the graph of y = √(-2x)
- That means x is multiplied by a factor k, then it is compressed
or stretched horizontally
∵ k = -2
- The factor is -2, where 2 is greater than 1, then it is compressed
horizontally as the first rule above and the negative means
reflected across the y-axis as the third rule above
∴ The graph of the parent function is compressed horizontally and
reflected across the y-axis
The graph of the parent function is horizontally compressed by a factor of 2 and reflected over the y-axis
Look to the attached figure for more understand
Learn more:
You can learn more about transformation in brainly.com/question/9381523
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