How to do question 8?

enter image source here

1 Answer
Feb 12, 2018

Answer:

#a=3/16#, #h=-2#, #k=3#

Explanation:

It appears that by turning point it means that #(-2,3)# is the vertex and hence asthe equation #y=a(x-h)^4+k# is in vertex form, where #(h,k)# is vertex, we have the equation as

#y=a(x-(-2))^4+3# or #y=a(x+2)^4+3#

Now, it passes through point #(0,-6)# hence

#6=a(0+2)^4+3# or #6=16a+3# i.e. #a=3/16#

Hence, equation is #y=3/16(x+2)^4+3#

i.e. #a=3/16#, #h=-2#, #k=3# and graph appears as

graph{3/16(x+2)^4+3 [-12.67, 7.33, -0.96, 9.04]}