Math Problem Statement

Convert the equation from vertex form to standard form y=−4(x+5)2−3 .(1 point) Responses y=−4x2−40x−103 y equals negative 4 x squared minus 40 x minus 103 y=16x2+160x+397 y equals 16 x squared plus 160 x plus 397 y=16x2+160x+412 y equals 16 x squared plus 160 x plus 412 y=−4x2−25x−3

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Vertex Form to Standard Form Conversion

Formulas

Vertex form: y = a(x - h)^2 + k
Expanding a squared binomial: (x + b)^2 = x^2 + 2bx + b^2
Standard form: y = ax^2 + bx + c

Theorems

Algebraic Expansion
Properties of Quadratic Functions

Suitable Grade Level

Grades 8-10