Problem preview

F-IF.7.a Warmup M2-021-A05-V03

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

List key graph features of a quadratic in standard form

Problem

Extract standard-form graph features for \(y=2x^{2}+8x+6\).

Answer choices

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a=2>0 opens up; axis x=-2; vertex y(-2)=-2 so(-2,-2); factorization=2(x−1)(x−3); x-intercepts=(1,0),(3,0); y-intercept=(0,6); range=[-2,∞)

a=2>0 opens up; axis x=-8/4=-2; vertex y(-2)=-2 so(-2,-2); factorization=2(x+1)(x+3); x-intercepts=(-1,0),(-3,0); y-intercept=(0,6); range=[-2,∞)

a=2>0 opens up; axis x=-2; vertex y(-2)=-2 so(-2,-2); factorization=2(x+1)(x+3); x-intercepts=(-1,0),(-3,0); y-intercept=(0,8) from b; range=[-2,∞)

a=2>0 opens up; axis x=-b/a=-4; vertex y(-4)=6 so(-4,6); factorization=2(x+1)(x+3); x-intercepts=(-1,0),(-3,0); y-intercept=(0,6); range=[6,∞)

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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: List key graph features of a quadratic in standard form