Math Problem Statement

se the graph of y equals f left parenthesis x right parenthesis shown to the right to graph the following function g. g left parenthesis x right parenthesis equals negative one half f left parenthesis x minus 1 right parenthesis minus 4 -10 10 -10 4 x y y equals f left parenthesis x right parenthesisleft parenthesis 0 comma 0 right parenthesisleft parenthesis negative 5 comma 0 right parenthesisleft parenthesis 0 comma negative 4 right parenthesisleft parenthesis 5 comma negative 4 right parenthesis

A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 1 and a vertical y-axis labeled from negative 10 to 4 in increments of 1. A line segment connects the labeled points (0, 0) and (5, negative 4). A second line segment connects the labeled points (negative 5, 0) and (0, negative 4). Question content area bottom Part 1 Choose the correct graph below. A. -10 10 -10 10 x y

A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 1 and a vertical y-axis labeled from negative 10 to 10 in increments of 1. A line segment connects the labeled points (negative 4, 0) and (1, 4). A second line segment connects the labeled points (1, 0) and (6, 4). B. -10 10 -10 10 x y

A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 1 and a vertical y-axis labeled from negative 10 to 10 in increments of 1. A line segment connects the labeled points (negative 6, 0) and (negative 1, 2). A second line segment connects the labeled points (negative 1, 0) and (4, 2). C. -10 10 -10 10 x y

A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 1 and a vertical y-axis labeled from negative 10 to 10 in increments of 1. A line segment connects the labeled points (negative 4, negative 4) and (1, negative 2). A second line segment connects the labeled points (1, negative 4) and (6, negative 2). D. -10 10 -10 10 x y

Solution

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Math Problem Analysis

Mathematical Concepts

Function Transformations
Graphing
Linear Functions

Formulas

g(x) = -1/2 f(x - 1) - 4

Theorems

Transformation of Functions
Vertical and Horizontal Shifts
Reflections and Scaling

Suitable Grade Level

Grades 9-11