Compare the Graph Of $n ( x ) = 7 ( x - 3 ) ^ { 2 } + 6$

question 31

Multiple Choice

Compare the graph of $n ( x ) = 7 ( x - 3 ) ^ { 2 } + 6$ with $n ( x ) = x ^ { 2 }$ .

• A) \(n ( x ) = 7 ( x - 3 ) ^ { 2 } + 6\) shifts left 3 units,shifts downward 6 units,and stretches by a factor of 7.
• B) \(n ( x ) = 7 ( x - 3 ) ^ { 2 } + 6\) shifts left 3 units,shifts upward 6 units,and stretches by a factor of 7.
• C) \(n ( x ) = 7 ( x - 3 ) ^ { 2 } + 6\) shifts right 3 units,shifts downward 6 units,and shrinks by a factor of \(\frac { 1 } { 7 }\) .
• D) \(n ( x ) = 7 ( x - 3 ) ^ { 2 } + 6\) shifts right 3 units,shifts upward 6 units,and shrinks by a factor of \(\frac { 1 } { 7 }\) .
• E) \(n ( x ) = 7 ( x - 3 ) ^ { 2 } + 6\) shifts right 3 units,shifts upward 6 units,and stretches by a factor of 7.

---

Definitions:

Rising Mantle

The upward movement of the Earth's mantle, often leading to volcanic activity.

Divergent Boundary

A plate-tectonic boundary in which two plates move apart (diverge) relative to one another.

Convergent Boundary

A tectonic plate boundary where two plates move toward each other, often resulting in mountain building, earthquakes, or volcanic activity.

Transform Boundary

A type of tectonic plate boundary where two plates slide past each other horizontally.