Problem preview

F-IF.7.a Warmup M2-021-A04-V04

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

Find the x-intercepts, axis of symmetry, and vertex of a quadratic in factored form

Problem

Analyze \(y=-2(x+2)(x-4)\) from its factored form. Find \(\text{both}~\text{zeros}\), use their midpoint for the axis of symmetry, evaluate the function there for the vertex, and determine the opening direction and \(y\)-intercept. Identify the complete feature set supported by your work.

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Zeros −2 and 4; axis x=1; vertex (1,18); opens down; y-intercept (0,16).

Zeros 2 and −4; axis x=−1; vertex (−1,18); opens down; y-intercept (0,16).

Zeros −2 and 4; axis x=0; vertex (0,16); opens down; y-intercept (0,16).

Zeros −2 and 4; axis x=1; vertex (1,0); opens down; y-intercept (0,16).

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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: Find the x-intercepts, axis of symmetry, and vertex of a quadratic in factored form