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.Com
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(39621) (Show Source): You can put this solution on YOUR website!
Move left or right: , which is to the right if , to left if .
Move up or down: , moved upward k units if .
reflects the graph through the x-axis.
RELATED QUESTIONS
Given the parent function f (x) = x2, explain the translation of f (x) = (x – 3)2 +... (answered by josmiceli)
What is the parent function of a quadratic equation? (answered by stanbon)
Given the parent function f (x) = |x|, describe the translation of the function g(x) =... (answered by Fombitz)
Given f(x) = sqrt{x} which equation represents the graph after a horizontal shrink of 1/3 (answered by Edwin McCravy)
What is the equation of the quadratic function under the following transformations of the (answered by stanbon)
Consider the quadratic function f(x) = x2 + 6x + 18. Determine whether there is a maximum (answered by ewatrrr)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 9.
(answered by Alan3354)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 9. (answered by edjones)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) =... (answered by stanbon)