Problem preview

F-BF.3 Warmup M3-019-A06-V04

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 \(y~=~4(3^{x~-~2})~-~1\) relative to \(y~=~3^x\). State the base and transformations, map parent point \((0,~1)\), and give the asymptote and range.

Answer choices

Choose your path.

Preview only

Base: 3. Transformations: vertical stretch 4, right 2, down 1. Point: (0,1)→(2,3). Asymptote: y=-1. Range: (-1,∞).

Base: 3. Transformations: vertical stretch 4, right 2, up 1. Point: (0,1)→(2,5). Asymptote: y=1. Range: (1,∞).

Base: 3. Transformations: vertical stretch 4, left 2, down 1. Point: (0,1)→(-2,3). Asymptote: y=-1. Range: (-1,∞).

Base: 3. Transformations: vertical stretch 4, right 2, down 1. Point: (0,1)→(2,3). Asymptote: y=-1. Range: (-∞,-1).

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

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