Question

Consider the graph of the quadratic function y = 2(x + 3)2 – 3 with two real zeros. What number can be added to the right side of the equation to change it to a function with one real zero?.

Answer 1

Making the outside constant on the right be zero will shift the function so the vertex is on the x-axis. At that point, there is only one real zero.

To make that happen, 3 must be added to the -3 that is there.

Answer 2

3 must be added to the right side of the equation to change it to a function with one real zero.

what is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

Here we are having an equation:-

y = 2 ( x + 3 ) 2  –  3

Making the outside constant on the right be zero will shift the function so the vertex is on the x-axis. At that point, there is only one real zero.

Therefore 3 must be added to the right side of the equation to change it to a function with one real zero.

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