Given that f(x) = x^2
vertically stretch the function by a factor of 9
For vertical stretch we multiply the factor by f(x)
[tex]f(x) = x^2[/tex]
for vertical stretch , [tex]f(x) = 9f(x)= 9x^2[/tex]
reflect is across the y-axis
While reflect across y axis , f(x) becomes f(-x). we replace x with -x
[tex]f(x)= 9x^2[/tex] becomes [tex]f(x)= 9(-x)^2[/tex]
shift f(x) up 7 units
when shifting f(x) up by 7 units we add 7 at the end of f(x)
[tex]f(x)= 9(-x)^2[/tex] becomes [tex]f(x)= 9(-x)^2 + 7[/tex]
So [tex]f(x)= 9(-x)^2 + 7[/tex]
