Fill in each blank with the appropriate response.
-The graph of $y = - 6 ( x - 2 ) ^ { 2 } + 8$ can be obtained from the graph of $y = x ^ { 2 }$ by shifting horizontallyــــــــــ units to theـــــــــــ , vertically stretching by a factor ofــــــــــ , reflecting across the ــــــــــــ-axis, and shifting vertically ـــــــــunits in the ــــــــdirection.
A) 2; right; 8; y; 6; downward
B) 2; right; 8; x; 6; upward
C) 2; right; 6; x; 8; upward
D) 2; left; 6; x; 8; upward

Question

Quizplus · Accepted Answer

The graph of $y = -6(x - 2)^2 + 8$ is obtained from $y = x^2$ by shifting 2 units to the right (due to $x - 2$), vertically stretching by a factor of 6 (the coefficient of the quadratic term), reflecting across the x-axis (due to the negative sign in front of 6), and shifting vertically 8 units in the upward direction (due to the +8 outside the parenthesis).

Fill in Each Blank with the Appropriate Response y=−6(x−2)2+8y = - 6 ( x - 2 ) ^ { 2 } + 8y=−6(x−2)2+8

Fill in Each Blank with the Appropriate Response $y = - 6 ( x - 2 ) ^ { 2 } + 8$