Problem preview

F-BF.3 Warmup M3-019-A06-V03

Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.

Analyze a transformed exponential graph from a,b,h,k

Problem

Analyze \(y~=~5(1.2)^{x~+~1}\) relative to \(y~=~(1.2)^x\). State the base and transformations, map parent point \((0,~1)\), and give the asymptote and range.

Answer choices

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Base: 1.2. Transformations: vertical stretch 5, left 1. Point: (0,1)→(-1,5). Asymptote: y=0. Range: (-∞,0).

Base: 1.2. Transformations: vertical stretch 5, right 1. Point: (0,1)→(1,5). Asymptote: y=0. Range: (0,∞).

Base: 1.2. Transformations: vertical stretch 5, left 1. Point: (0,1)→(-1,5). Asymptote: x=0. Range: (0,∞).

Base: 1.2. Transformations: vertical stretch 5, left 1. Point: (0,1)→(-1,5). Asymptote: y=0. Range: (0,∞).

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Curriculum context

Course: Math III
Standard: F-BF.3
Category: Functions
Domain: Building Functions
Objective: Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.
Problem type: Analyze a transformed exponential graph from a,b,h,k