The parabola y=(x)^2 is transformed as described below. Its image has the form y=a(x-h)^2+k. Determine the value of a,h, and k for each transformation and then write the equation in the form y=a(x-h)^2+k.
a) y=(x)^2 is translated 5 units to the right, 9 units up and it opens down.

a: h: k: y=

Question

The parabola y=(x)^2 is transformed as described below. Its image has the form y=a(x-h)^2+k. Determine the value of a,h, and k for each transformation and then write the equation in the form y=a(x-h)^2+k.
a) y=(x)^2 is translated 5 units to the right, 9 units up and it opens down.

a: h: k: y=

anonymous · Answer

y=-(x-5)^2+9

anonymous · Answer

because, opens down so flippedo n the x axis, so you put the negative in front of the a value, you do the opposite of what it says in the brackets for the compression/stretch and shifting units (i.e., if it says x-5 that means you shift 5 units into the positive), and outside the brackets you do exactly what it says (so +9 at the end means 9 units up).