Question

Which graph represents y = RootIndex 3 StartRoot x + 6 EndRoot minus 3? in a test plese help fast

Answer 1

Graph (a)

Explanation:

Given

`y = \sqrt[3]{x+ 6} -3`

Required

The graph

First, calculate y, when x = 0

`y = \sqrt[3]{0+ 6} -3`

`y = \sqrt[3]{6} -3`

`y = -1.183`

The above value of y implies that the graph is below the origin when x = 0. Hence, (c) and (d) are incorrect because they are above the origin

Also, only the first graph passes through point (0,-1.183). Hence, graph (a) is correct