Answer the question.
-How can the graph of $f ( x ) = 0.4 ( x + 7 ) ^ { 2 } - 9$ be obtained from the graph of $y = x ^ { 2 } ?$
A) Shift it horizontally 7 units to the right. Shrink it vertically by a factor of 0.4 . Shift it 9 units up.
B) Shift it horizontally 7 units to the left. Shrink it vertically by a factor of 0.4 . Shift it 9 units down.
C) Shift it horizontally 7 units to the left. Shrink it horizontally by a factor of 0.4. Shift it 9 units down.
D) Shift it horizontally 9 units to the left. Stretch it vertically by a factor of 8 . Shift it 7 units down.

Question

Answer the question.
-How can the graph of $f ( x ) = 0.4 ( x + 7 ) ^ { 2 } - 9$ be obtained from the graph of $y = x ^ { 2 } ?$
A) Shift it horizontally 7 units to the right. Shrink it vertically by a factor of  0.4 . Shift it 9 units up.
B) Shift it horizontally 7 units to the left. Shrink it vertically by a factor of  0.4 . Shift it 9 units down.
C) Shift it horizontally 7 units to the left. Shrink it horizontally by a factor of 0.4. Shift it 9 units down.
D) Shift it horizontally 9 units to the left. Stretch it vertically by a factor of 8 . Shift it 7 units down.

Quizplus · Accepted Answer

The graph of $f(x) = 0.4(x + 7)^2 - 9$ can be obtained from $y = x^2$ by first shifting it 7 units to the left (due to $x + 7$), shrinking it vertically by a factor of 0.4 (due to the 0.4 coefficient), and then shifting it 9 units down (due to the $-9$ at the end).

Answer the Question f(x)=0.4(x+7)2−9f ( x ) = 0.4 ( x + 7 ) ^ { 2 } - 9f(x)=0.4(x+7)2−9

Answer the Question $f ( x ) = 0.4 ( x + 7 ) ^ { 2 } - 9$