Math Problem Statement
Consider the quadratic graph y = (x+3)2+6.
To translate the graph upwards by 2 units, the required function can be expressed as Answer field 1(x+3)²+4(x+3)²+8(x+5)²+6(x+1)²+6.
To translate the graph leftwards by 2 units, the required function can be expressed as Answer field 2(x+3)²+4(x+3)²+8(x+5)²+6(x+1)²+6.
To translate the graph rightwards by 2 units, the required function can be expressed as Answer field 3(x+3)²+4(x+3)²+8(x+5)²+6(x+1)²+6.
To translate the graph downwards by 2 units, the required function can be expressed as Answer field 4(x+3)²+4(x+3)²+8(x+5)²+6(x+1)²+6.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Graph Transformations
Quadratic Functions
Formulas
y = (x + h)² + k
Translations of graphs
Theorems
Graph Transformation Theorems
Suitable Grade Level
Grades 9-11