# White a function based on the parent function y = x3 and transformation in given order:a) shift 5 units to the leftb) Reflect across the y-axisc) Shift upward 4 units

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White a function based on the parent function y = xand transformation in given order:

a) shift 5 units to the left

b) Reflect across the y-axis

c) Shift upward 4 units

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Step 1

Given:

The parent function y = x3. help_outlineImage TranscriptioncloseReflection The graph of y f(-x) is the reflection of the graph of y f(x across y -axis Horizontal translation: For d 0 The graph of y f (x+ d) is the graph of y f(x) shifted to the left d units Veitical translation: For d 0, The graph of y f(x)+d is the graph of y f(x) shifted up d units fullscreen
Step 2

Now perform the following transformations in order as follows.

a) help_outlineImage Transcriptionclose3 The fun ction y (x+5) is shift of the function y xto the left by 5 units fullscreen
Step 3

b)

... help_outlineImage Transcriptionclose3 The function y (-x+5)is the reflection of the function y (x5 х+ across y — ахis. fullscreen

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### Algebra 