Question

Use the parent function f(x) = x2 to fill in the blanks.

a. f(x) = -X2 is a _____across the x-axis.
b. f(x) = is a _____horizontal translation right by 3 units.
C. f(x) = x2 + 6 is a vertical translation up by___?​

Answer 1

a) reflection across the x-axis

b) f(x) =( x-3)²

c) f(x) = x² + 6 is a vertical taranslation up by '6' units

Explanation:

Explanation

Given that the parent function

f(x) = x²

a) f(x) = x² is rotation across the x-axis then the new function

f(x) = - x²

b) ) f(x) = x² is a horizontal translation right by '3' units then the function is changes to f(x) = (x-3)²

c)

f(x) = x² is a vertical translation up '6' units then the function is changes to f(x) = x² +6