# SOLUTION: 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

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: 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      Log On

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 Question 570987: 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.Answer by lwsshak3(6463)   (Show Source): 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: f(x)=(x-4)^2+2(x-4)-2+5 solving for zeros f(x)=x^2-8x+16+2x-8-2+5 f(x)=x^2-6x+11 discriminant=b^2-4ac=36-4*1*11<0 Therefore, translated function has no real roots or zeros.