f (x) = x²; shift 9 units left and reflect in a-axis

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I am not sure if the given equation is correct... see attachment

 

My answer is F(x)=-(x+9)^2

The text in the image reads:

"f(x) = x²; shift 9 units left and reflect in x-axis."

This implies that the quadratic function f(x) = x² undergoes two transformations:

1. **Horizontal Shift**: The graph of the function is shifted 9 units to the left. This means each point (x, y) on the graph moves to (x - 9, y).

2. **Reflection**: The function is reflected across the x-axis, transforming the graph into -f(x). Each point (x, y) on the original graph becomes (x, -y).

These transformations will result in a new function g(x) = -(x + 9)².
Transcribed Image Text:The text in the image reads: "f(x) = x²; shift 9 units left and reflect in x-axis." This implies that the quadratic function f(x) = x² undergoes two transformations: 1. **Horizontal Shift**: The graph of the function is shifted 9 units to the left. This means each point (x, y) on the graph moves to (x - 9, y). 2. **Reflection**: The function is reflected across the x-axis, transforming the graph into -f(x). Each point (x, y) on the original graph becomes (x, -y). These transformations will result in a new function g(x) = -(x + 9)².
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