Problem preview

F-IF.7.a Warmup M2-021-A03-V04

Graph linear and quadratic functions and identify intercepts, maxima, and minima.

List graphing features of a quadratic in vertex form

Problem

List the graphing features of \(y=-0.5(x-3)^{2}+2\). Identify the vertex-form parameters, vertex, and axis, explain the downward opening and wider shape, and verify that \(x=1\) and \(x=5\) give symmetric \(x\)-intercepts.

Answer choices

Choose your path.

Preview only

Vertex (−3,2); axis x=−3; opens down and is wider; symmetric points (−5,0) and (−1,0).

Vertex (3,2); axis x=3; opens up and is wider; symmetric points (1,4) and (5,4).

Vertex (3,2); axis x=3; opens down and is wider; points (1,0) and (4,1.5) are symmetric.

Vertex (3,2); axis x=3; opens down and is wider; symmetric points (1,0) and (5,0).

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 II
Standard: F-IF.7.a
Category: Functions
Domain: Interpreting Functions
Objective: Graph linear and quadratic functions and identify intercepts, maxima, and minima.
Problem type: List graphing features of a quadratic in vertex form