If the formula y=x^3 is changed by adding five (shown in red below), what effect would that change have on the function's values?

f(x)=x^3+5

What effect would it have on the graph?

1 answer

Adding five to the formula y=x^3 shifts the entire curve up by five units. This means that for every value of x, the corresponding y-value will be five units higher than before.

On the graph, this transformation will result in the curve being shifted upwards by five units relative to the graph of y=x^3. The rest of the shape of the curve will remain the same, but it will be higher on the y-axis.