Answer:
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
Step-by-step explanation:
<u>Explanation</u>
Given that the parent function
f(x) = x²
a) f(x) = x² is rotation across the x-axis then the new function
<em> f(x) = - x²</em>
b) ) f(x) = x² is a horizontal translation right by '3' units then the function is changes to <em>f(x) = (x-3)²</em>
c)
f(x) = x² is a vertical translation up '6' units then the function is changes to <em>f(x) = x² +6 </em>
