Problem preview

A-SSE.1.a Warmup M2-008-A06-V02

Interpret terms, factors, and coefficients in quadratic and exponential expressions.

Match quadratic graph features to an equation

Problem

For vertex-form quadratic \(g(x)=-(x+4)^{2}+7\), identify \(a\),\(h\),\(k\), vertex, symmetry axis, opening, width/stretch-compression match, and extremum.

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a=-1,h=4,k=7; vertex=(4,7); axis=x=4; opening=down; scale=same width/reflected; extremum=maximum7

a=-1,h=-4,k=7; vertex=(-4,7); axis=x=-4; opening=down; scale=vertical compression factor1/wider than y=x²; extremum=maximum7

a=1,h=-4,k=7; vertex=(-4,7); axis=x=-4; opening=up; scale=same width as y=x²; extremum=minimum7

a=-1,h=-4,k=7; vertex=(-4,7); axis=x=-4; opening=down; scale=same width as y=x²/reflected; extremum=maximum7

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Curriculum context

Course: Math II
Standard: A-SSE.1.a
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Interpret terms, factors, and coefficients in quadratic and exponential expressions.
Problem type: Match quadratic graph features to an equation