Consider the parent quadratic function f (x) = x2.

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 the x-axis. (Only one correct answer exists.)

Question

Julien Alvarez

Mathematics

27 June, 19:41

Consider the parent quadratic function f (x) = x2.

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 the x-axis. (Only one correct answer exists.)

+5

Answers (1)

Know the Answer?

Hector Kirby · Answer 1

F (x) = x+c, where c is an arbitrary constant.

if c is positive then translation above

if c is negative then translation down

reflection of f (x) = x^2 across x-axis then

f (x) = - x^2