Change the equation y+3=2^x so that the graph of the new equation has no x-intercepts.

Answer 1

Hello, Lindsey,

Rewriting the equation: y = 2^x - 3

When plotted, the graph rises rapidly after x turns positive. As x grows increasingly more negative, the term 2^x approaches and goes to 0. The term -3 is what causes it to drop below the x axis, so we can add 3 to negate this naughty behavior. The resulting equation y = 2^x has the same form, but there are no x intercepts.

Bob

Answer 2

y = 2^x