Parent Functions

Question 1

y=x^2

Answer 1

positive parabola

Question 2

y=x^3

Answer 2

(-,-),(+,+) vertical

Question 3

y=square root of x

Answer 3

(+,+)

Question 4

y=cube root of x

Answer 4

(-,-),(+,+) horizontal

Question 5

y=a(x-h)+k
a > 1

Answer 5

vertical stretch (narrow)

Question 6

y=a(x-h)+k
a < 1

Answer 6

vertical compression (wider)

Question 7

y=a(x-h)+k
-a

Answer 7

reflected across the x axis

Question 8

y=a(x-h)+k
-x

Answer 8

reflected across the y axis

Question 9

y=a(x-h)+k
k=

Answer 9

vertical translation (logical)

Question 10

y=a(x-h)+k
h=

Answer 10

horizontal translation (illogical)