SOLUTION: Sketch the graph of y=-(x-4)^2+9 and describe how the graph is related to the graph y=x^2... I really need help with this question I don't understand any of it or how to get the an

Algebra ->  Graphs -> SOLUTION: Sketch the graph of y=-(x-4)^2+9 and describe how the graph is related to the graph y=x^2... I really need help with this question I don't understand any of it or how to get the an      Log On


   

Question 976693: Sketch the graph of y=-(x-4)^2+9 and describe how the graph is related to the graph y=x^2... I really need help with this question I don't understand any of it or how to get the answer
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2 vertex at (0,0), concave upward. Vertical axis of symmetry.

y=%28x-4%29%5E2, moved four units to the right.

y=-%28x-4%29%5E2, reflected across the x-axis and is now concave downward.

y=-%28x-4%29%5E2%2B9, moved upward by nine units, so vertex is at (4,9).