Problem preview

F-IF.7.a Warmup M2-021-A13-V02

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

Derive a linear or quadratic graph fingerprint

Problem

Derive a graph fingerprint for \(y=-(x+2)(x-4)\). Find the zeros, use their midpoint for the axis, evaluate the vertex and \(y\text{-}\text{intercept}\), and use the leading sign for the opening direction. Identify the fingerprint consistent with every result.

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Opens down; zeros −2 and 4; axis x=1; vertex (1,9); y-intercept (0,8).

Opens down; zeros 2 and −4; axis x=−1; vertex (−1,9); y-intercept (0,8).

Opens down; zeros −2 and 4; axis x=1; vertex (1,8); y-intercept (0,8).

Opens up; zeros −2 and 4; axis x=1; vertex (1,−9); y-intercept (0,−8).

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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: Derive a linear or quadratic graph fingerprint