Question

3. The parabola y = z is changed to the form y = a(z - p)2 + by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of , p, and ?-a= 2,p=3,q=4-a = 2,p=4,q=3- a = 4, p = 2,4 = 3-a = 3, p = 4,9 - 2

Answer 1

the correct question is

The parabola y = z^2 is changed to the form y = a(z - p)2 + q, by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of a, p, and q ?

-

we have

y=z^2 ------> parent function

vertex is (0,0)

y=a(z-p)^2+q

the translation is 2 units up and 4 units right

so

the rule is

(x,y) -----> (x+4,y+2)

so

y=a(z-4)^2+2

and

expanding it vertically by a factor of 3

the rule is

(x,y) -----> (x,3y)

therefore

y=3(z-4)^2+2

answer is

a=3

p=4

q=2