Justified Thinking Features of Transfor Heather, Jalencia, and Debbie were looking at the following 3 functions. They each
took turns making observations about the functions.
(O)
=
h(x) = 2x + 3
=
g(x) = (x-1)2+ 3
right lupa
1
.3
-2
-1
1
2
3
-1
asymploi
Heather: Every function is always increasing. g(x) has a
vertex of (1, 3).
Debbie: hcx) has no x-intercept and the asymptote is
y = 3. All functions have a domain of all real numbers.
Jalencia: kcx) has a y-intercept of C0,3) while gcx) has a
y-intercept of C0,3). All functions have a range containing
but not limited to) values y > 3.
What statements do you agree with? Explain your choices using transformations.