SOLUTION: Consider the parent quadratic function f(x) = x2. Give the equation of a function that represents a horizontal translation of the parent, that is, it has moved right or left. (Many

Algebra ->  Linear-equations -> SOLUTION: Consider the parent quadratic function f(x) = x2. Give the equation of a function that represents a horizontal translation of the parent, that is, it has moved right or left. (Many      Log On


   

Question 1070431: Consider the parent quadratic function f(x) = x2. Give the equation of a function that represents a horizontal translation of the parent, that is, it has moved right or left. (Many correct examples are possible.) Then give the equation of a function that represents a vertical translation of the parent, that is, it has moved up or down. (Many correct examples are possible.) Finally, give the equation of a reflection of the parent across the x-axis. (Only one correct answer exists.)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2

Move left or right: y=%28x-h%29%5E2, which is to the right if h%3E0, to left if h%3C0.

Move up or down: y=%28x-h%29%5E2%2Bk, moved upward k units if k%3E0.


y=-%28x-h%29%5E2 reflects the graph through the x-axis.