Question Function Find the vertex Find the axis of symmetry Evaluate the derivative Load more (0,0) Evaluate k=200e2d2Find the d-coordinate of the vertex by substituting a=200e2 and b=0 into d = −2ab d=−2×200e20Solve the equation for d d=0Find the y-coordinate of the vertex by evaluating the function for d=0 k=200e2×02Calculate More Steps Evaluate 200e2×02Calculate 200e2×0Any expression multiplied by 0 equals 0 0 k=0Solution (0,0) Show Solution Solve the equation d=20e2kd=−20e2k Evaluate k=200e2d2Swap the sides of the equation 200e2d2=kDivide both sides 200e2200e2d2=200e2kDivide the numbers d2=200e2kTake the root of both sides of the equation and remember to use both positive and negative roots d=±200e2kSimplify the expression More Steps Evaluate 200e2kTo take a root of a fraction,take the root of the numerator and denominator separately 200e2kSimplify the radical expression More Steps Evaluate 200e2Rewrite the expression 200×e2Simplify the root 102×e 102×ekMultiply by the Conjugate 102×e2k×2Calculate 10×2ek×2Calculate More Steps Evaluate k×2The product of roots with the same index is equal to the root of the product k×2Calculate the product 2k 10×2e2kCalculate 20e2k d=±20e2kSolution d=20e2kd=−20e2k Show Solution Graph