You can put this solution on YOUR website!
If the quadratic equation f(x)=x^2+2x-2 were translated up 5 units and to the right 4 units, then what would be the zeros of the resulting quadratic function? Explain your solution.
Translating a function up or down is graphically in effect moving the entire curve up or down, that is, f(x) goes up or down. In this case, moving f(x) 5 unit up looks like this: f(x)+5=(x^2+2x-2)+5.
Translating a function right or left is moving the entire curve left or right. In this case moving the curve 4 units to the right means adding -4 units to x like this:f(x)= (x-4)^2+2(x-4)-2
Translating the function 5 units up and 4 units to the right look like this:
solving for zeros
Therefore, translated function has no real roots or zeros.