Problem preview

A-SSE.1.b Warmup M2-009-A11-V04

Interpret quadratic/exponential expressions by treating sub-expressions as meaningful units.

Check a proposed solution to f(x) = g(x)

Problem

Starting from \(x\), sequence the operations in \(-2(x+1)^{2}+7\). Preserve the entire parenthesized sum under the square, then apply the negative scale and final vertical shift.

Answer choices

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Add 1 to x; square only x; multiply by −2; add 7. Guard: the exponent applies only to x, not the whole sum.

Add 1 to form x + 1; square the entire sum; multiply by −2; add 7. Guard: square the parenthesized sum before the outside coefficient.

Multiply x by −2; add 1; square the result; add 7. Guard: multiply before applying the exponent.

Add 1; square the sum; add 7; multiply the total by −2. Guard: add 7 inside the outside multiplication.

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Curriculum context

Course: Math II
Standard: A-SSE.1.b
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Interpret quadratic/exponential expressions by treating sub-expressions as meaningful units.
Problem type: Check a proposed solution to f(x) = g(x)