How to do question 8?

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1 Answer
Feb 12, 2018

a=3/16a=316, h=-2h=2, k=3k=3

Explanation:

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

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

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

6=a(0+2)^4+36=a(0+2)4+3 or 6=16a+36=16a+3 i.e. a=3/16a=316

Hence, equation is y=3/16(x+2)^4+3y=316(x+2)4+3

i.e. a=3/16a=316, h=-2h=2, k=3k=3 and graph appears as

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